The paper presents Constant Rebalanced Portfolio first introduced by Thomas
|
|
- Sharon O’Neal’
- 8 years ago
- Views:
Transcription
1 Itroducto The paper presets Costat Rebalaced Portfolo frst troduced by Thomas Cover. There are several weakesses of ths approach. Oe s that t s extremely hard to fd the optmal weghts ad the secod weakess s that dowtred market CRP teds to tred dow. To deal wth the frst weakess Cover troduces the Uversal Portfolo oto ad ths research paper addresses the secod weakess. I order to cope wth tred we propose to have both short ad log stocks the portfolo ad at the ed of each day rebalace the portfolo. The caveat s, the weght of the wealth vested short ad log stocks should ot be equal. The results show that Modfed CRP beats the portfolo that cossts of stocks that have egatve ad moderate retur.
2 Ivestmet Theory Overvew It was the goal of dvdual, atos ad socetes sce the daw of huma race to accumulate wealth, sometmes to satsfy basc eeds for exstece, ad sometmes just for the sake of wealth accumulato. I recet cetury, facal markets became creasgly attractve for dvduals ad sttutos alke, ad are crucal part of etre ecoomy, due to ther role facltatg the rase of captal, hedgg, accumulato of wealth, ad teratoal trade. Facal Market s a market for a facal strumet, whch buyers ad sellers fd each other ad create or exchage facal assets. ometmes these are orgazed a partcular place ad/or sttuto, but ofte they exst more broadly through commucato amog dspersed buyers ad sellers, cludg baks, over log dstaces. [] I recet years, wth the veto of the teret, dvdual vestors who would ot have meas to stock markets, research ad deas otherwse became very actve partcpats the stock markets. Numerous theores were proposed by ecoomsts, mathematcas ad computer scetsts wth ultmate goal md: How to maxmze the retur ad/or mmze the rsk? Oe of those famous theores, whch s wdely used today, s a Portfolo Theory, proposed by Harry Markowtz Portfolo electo artcle, that was publshed The Joural of Face 95, ad later was publshed as a book 959 [, 3]. Corerstoe
3 of the Portfolo Theory s the dversfcato ad t argues that by carefully creatg portfolo, oe ca maxmze the expected retur ad mmze the rsk. everal schools emerged that took varous approaches to terpret the everyday stock market teractos. Whle oe beleve that t s possble to use statstcs ad past data to uderstad the stock market, others, such as propoets of Effcet Market Hypothess Theory argue that stock prce already corporates all the formato that s avalable, ad that whe vestor buys or sells the stock, hs success wll deped o chace ad essetally models bult by the vestor have o predctve power. Yet aother questo, whch puzzled vestors ad actve traders for decades, s how to predct future stock prce wth some degree of accuracy? There are two ma aalytcal approaches to attempt to predct the stock prce. - Fudametal Aalyss: A fudametal aalyss reles o the statstcs of macroecoomcs data such as terest rates, flato rates as well as compay s facal status[4]. - Techcal Aalyss: A techcal aalyss reles o the aalyss of hstorcal prce ad volume data. Ths research paper s goal s to fd a successful strategy to crease the odds the stock market. For that I wll use log-ormal portfolo theory, whch was evolved from the Iformato Theory cocepts. Whle the theory optmzes the retur, t stll follows the market s overall tred ad susceptble to systemc rsk.
4 Iformato Theory Overvew I would lke to remark to the reader that ths secto s adapted from the book Elemets of Iformato Theory by Thomas Cover. Iformato Theory, as a brach appled mathematcs ad electrcal egeerg was fouded 948 by Claude hao. Itally formato theory was set to aswer questos related to data compresso ad trasmsso. However, sce ts cepto formato theory applcatos ca be foud may dfferet felds: cludg but ot lmted to Physcs, Computer cece, Mathematcs, ad Ecoomcs. To quatfy the ucertaty of a radom varable formato theory, we use etropy. The Etropy H() of a dscrete radom varable s defed by: H ( ) = p( x)log p( x) x ce the etropy s expressed bts, the log base s to be. Expected value of radom varable of g() s wrtte: E g( ) = g( x) p( x) p x The defto above, whch defes the etropy of a sgle varable, ca also be exteded to a par of radom varables.
5 The jot etropy H(, Y) of a par of dscrete radom varables (, Y) wth a jot dstrbuto p(x, y) s defed as H (, Y ) = p( x, y)log p( x, y) x y Y Codtoal etropy of a radom varable s aother mportat cocept that eeds to be defed. If (, Y) ~ p(x,y), the codtoal etropy H(Y ) s defed as H(Y ) = p ( x) H ( Y = x) x = ( x) x = x y Y p p( y x)log p( y x) y Y p ( y x)log p( y x) Iformato Theory ad Portfolo Maagemet I A ew terpretato of Iformato Rate publshed 956, Joh Larry Kelly Jr. showed that If the put symbols to a commucato chael represet the outcomes of a chace evet o whch bets are avalable at odds cosstet wth ther probabltes, a gambler ca use the kowledge gve hm by the receved symbols to cause hs moey to grow expoetally [5]. Later 96 Edward Thorp showed the practcal use of the theory ad that t could be used Ivestmet decso makg.
6 The tock Vector A stock market ca be represeted as a vector of stocks = (,,... m ) 0, =,,,m where s the prce relatve. (The rato of the prce of stock at the ed of the day to the prce at the begg of the day). I example f prce of stock s up by 4% at the ed of the day, the =. 04. The Portfolo A portfolo b=( b, b,... b ), where b 0, b = s the wealth allocato across the ( m stocks. The Portfolo relatve s defed as the rato of the wealth at the ed of the day to the wealth at the begg of the day ad ca be represeted as. Thus f the stock vector s ad a portfolo we are usg s b the: = b t The goal of dvdual as well as sttutoal vestor s to maxmze. Curretly the theory that s used by experts s Mea-varace approach, whch s based o maxmzg expected value of ad was troduced by harpe ad Markowtz. Other wdely used cocepts are CAPM (captal asset prcg model), effcet froter, Moder Portfolo Theory. These portfolo selecto models however, are used for the log term decso makg. If a trader trades or rebalaces hs portfolo a more frequet bass, for stace every day, the the behavor of the product of wealth relatves s determed by the expected logarthm of the wealth relatve ad ot by the expected value.
7 The Growth Rate The growth rate of a stock market portfolo b wth respect to a stock dstrbuto F(x) s defed as t t W ( b, F) = logb xdf( x) = E(logb ) Whe the logarthm s to base, the growth rate s also called the doublg rate. ce the am s to maxmze the wealth, the the optmal growth rate ca be defed as follows: * W ( F) = maxw ( b, F) where b = b The Log-optmal Portfolo If portfolo Theorem. * b acheves the maxmum of W(b, F) t s called a log-optmal portfolo. Let,..., be..d ~F(x). Let * = = b * t s the wealth relatve after days. The * * log W ( F) or = * W *
8 Proof for the theorem s gve as follows: * * t * log = log b W ( F ) = Theorem The log-optmal portfolo for a stock market ~ F satsfes the followg codtos: j E ( ) = * t b f b * > 0 j f b * = 0 Ths theorem s called Kuh-Tucker characterzato of the log-optmal portfolo. j Asymptotc Optmalty of Log-Optmal Portfolo It ca be show wth probablty that the fal wealth expected log ca be maxmzed by log-optmal portfolo. Let * = = b * t s the wealth relatve after days for vestor usg log optmal portfolo. Let = = b t s the wealth relatve after days of a vestor who s usg ay other strategy. The: E log = W E log * * Thomas Cover hs book provdes the proof for the theorem, whch s as follows:
9 max E log = max E = logb t = t max logb (,,..., = E ) = = E logb * t = W * Thus the best results are acheved by a costat portfolo strategy. The ext theorem shows that log-optmal portfolo wll perform as good as or better tha ay other portfolo strategy. Theorem: Let * = = b * t s the wealth relatve after days for vestor usg log optmal portfolo. Let = = b t s the wealth relatve after days of a vestor who s usg ay other strategy. The: lm sup log 0 * wth probablty.
10 Iformatoal Edge If the theory s the frst half of the puzzle, the formatoal edge s the secod part that s ecessary to succeed the stock market challege. Why do we eed formatoal edge, ad most mportatly how do we acheve t? If you had the formato about the certa compay that you have today, 0 years ago, would t help to make your md? If early etes we kew how bg the teret would be the future, would we pck Amazo, Ebay stocks as soo as they were out IPO? If we had the same formato about facal health of the compaes, such as Ct Group, AIG or Bak of Amerca, several years ago, would we avod the stocks? I recet tervew to BusessWeek Chrs emeuk - portfolo maager - at TIAA- CREF ackowledges the mportace of formatoal edge ad how vtal t s for the compay stock to be cluded to hs portfolo. To ga formatoal edge, portfolo maager travels to the compaes headquarters ad as he otes You'd be surprsed how much publc formato gets overlooked ad s ot carefully aalyzed. [6] o how ca oe acheve formatoal edge? The most commo approaches are two: Fudametal Aalyss ad Techcal Aalyss. As t was metoed earler, fudametal aalyss looks at the overall macroecoomc codtos as well as facal health of the compay. Techcal aalyss, o the other had, attempts to predct the stock movemet based o hstorcal data. I ths research paper, I use techcal aalyss, amely autocorrelato ad apply the Costat Rebalace Portfolo theory to practce.
11 Data ad Results For ths research, I collected 0 years daly data for 0 blue chp stocks. everal strateges were tested ad compared. The followg table demostrates the buy ad hold strategy for 0 blue chp stocks over the 0 year perod. Buy ad Hold gle tock trategy tock tock Adjusted prce stock prce (/03/000) (/3/009) Retur % KO $ $ % AA $ 3.59 $ 6. -5% WMT $ $ % CAT $ 8.6 $ % BA $ 33.9 $ % T $ $ 7.6-8% PFE $ 3.57 $ 8.9-3% MCD $ 3.57 $ % MFT $ $ % GE $ $ % The data for the research was obtaed from face.yahoo.com, ad the stock prce reflects the splts ad dvdeds adjustmet. If a vestor purchased share of each compay, the retur 0 years would be 9%. If a vestor o the other had, vested 0% of hs wealth to each of these stocks, the retur o vestmet would be equal to 30%. Next several examples demostrate Costat Rebalaced Portfolo (CRP) approach results. Accordg to CRP, whch s based o Iformato Theory, at the ed of each tradg day redstrbute the wealth to all stocks gve the vector: b=( b, b,... b ) ( m
12 Theory propoets ofte cte the followg example to show that t holds water. Cosder tock whose prce stays costat ad tock whose prce doubles oe day ad halves aother. If b = [, ] The the wealth wll grow expoetally [6]: = = ( + ) = = ( t+ = 3 + t+ = 3 ) = 3 4 t 3 To observe how CRP wll affect the wealth over tme, we take 0 stocks our portfolo ad redstrbute the wealth at the ed of each day. Our b = [... ]. 0 0 If we dsregard the commssos ad fees, the at the ed of the 009, our portfolo retur s 39%. It s clear that the strategy outperforms the buy ad hold strategy where our wealth were equally dstrbuted amog 0 stocks. However, f we would allocate all of our wealth 3 stocks: BA, CAT ad MCD /3/000, we ca observe that our CRP strategy would ot be superor to buy ad hold, because the retur o vestmet o three stocks s hgher tha the retur o CRP.
13 Whe we assg equal weghts to each stock our portfolo, t s called uform rebalaced portfolo. ce the weghts ca be easly adjusted, we are ot costraed to keep equal amout of wealth each stock. mply adjustg our portfolo b: b = [0., 0, 0., 0., 0.3, 0, 0, 0., 0, 0] b = [KO, AA, WMT, CAT, BA, T, PFE, MCD, MFT, GE] Rebalacg our portfolo at the ed of each tradg day, we wll acheve 8% retur o our tal vestmet. Ths clearly beats the best buy ad hold strategy the portfolo, whch would be Caterpllar (NYE: CAT). Aother agle that CRP wll be a better opto tha buy ad hold or ay other strateges s whe we have pcked losers our portfolo. Cosder a scearo where we pcked two stocks our portfolo, whch were Alcoa (NYE: AA), ad Geeral Electrc (NYE: GE). If we had decded to equally dvde our wealth to two stocks ad apply buy ad hold strategy, the at the ed of the vestmet perod we would lose 55% of our wealth. Now f we use CRP ad apply varous weghts, the our retur o vestmet wll stll be egatve but CRP outperforms buy ad hold strategy. The followg table summarzes portfolo retur whe dfferet weghts are appled. AA GE ROI 0% 90% -55.3% 0% 80% -5.56% 30% 70% % 40% 60% % 50% 50% % 60% 40% % 70% 30% % 80% 0% % 90% 0% %
14 As we ca see from the table, the best result s acheved whe two stocks are costatly rebalaced at 60% to Alcoa stock ad 40% to GE rato. The followg graphs represet the wealth crease or decrease for buy ad hold vs. CRP. CRP vs. Buy&Hold 60%_40% AA GE
15 Uform CRP vs. Buy & Hold Uform CRP B&H
16 We ca see from the graph that CRP outperformg the Buy & Hold strategy both scearos, that s maxmzes the reveue ad mmzes the rsk. There are also two mportat thgs ca be derved by aalyzg the graph: - There exsts a portfolo b, whch s the optmal weght ad f oe uses t, he or she ca maxmze the retur o vestmet. - ecod observato dcates that CRP follows the tred ad yelds better retur whe the portfolo s tredg up, ad mmzes the loss whe the portfolo treds dow. The secod observato s of partcular terest to me ad ths paper I preset a algorthm to break the tred. There s always a fe le betwee greed ad fear. Whe we see stocks our portfolo gog up, we do t sell them because we thk stock wll tred up further ad afrad we lose a opportuty. Whe the stocks go dow, we are scared that the stocks ca go dow further ad we sell the stock ad after a whle realze that stock evetually made ts way up. Oe of the weakesses of CRP offered by Cover s that t teds to follow the tred. That s f stock goes up, CRP wll beat the best performg stock, ad f the portfolo goes dow t wll ot perform worse tha other strateges. o ts rsk ad reward trade off CRP s more geared towards the reward sde. The stock market crash of late 008 ad early 009 was oe of the worst stock market crashes the hstory ad wped out 40-50% of vestors wealth. The followg chage s proposed to CRP, whch my opo wll balace the rsk ad reward.
17 Cosder a portfolo vector wth both log ad short postos. The results show that havg a short posto the portfolo reduces the rsk substatally, wthout havg much effect o portfolo growth. The followg graph compares three strateges Buy ad Hold, CRP ad Balaced CRP. Uform CRP B&H Log_hort - Buy ad Hold strategy assumes that vestor vests 0% of hs wealth ad holds the stocks for 0 years - Ivestor, who uses CRP method, costatly rebalaces the portfolo ad keeps 0% of hs wealth each stock. - Ivestor, who uses Balaced CRP method, keeps 6% of hs wealth each stock as a log posto ad 4% as a short posto.
18 Cosder aother example: durg the perod of 0/4/007 03/06/009, &P 500, lost 55%. The followg table demostrates how each strategy, B&H, CRP ad Balaced CRP performed durg ths perod. Balaced CRP B&H CRP Ths clearly shows that troducg short sale to the portfolo reduces the systemc rsk. Last but ot the least, the followg results compare CRP, B&H ad Balaced CRP for par of stocks. Frst par s two stocks the portfolo that outperformed other stocks the portfolo. That s CAT ad MCD, 04% ad 9% retur respectvely. ecod par s two stocks that uderperformed other stocks the portfolo. That s AA whch lost 5% ad GE whch lost 60%. Thrd par s two stocks T ad KO whose performace was -8% ad 7% respectvely.
19 AA&GE ot allowed s allowed KO&T ot allowed s allowed
20 CAT&MCD ot allowed s allowed As t ca be observed from these three graphs, a portfolo that allows the short sellg, balaces the Rsk & Reward ad s especally favorable whe the stock market tredg dow.
21 Cocluso A powerful vestmet strategy based o Iformato Theory was proposed by Thomas Cover. The purpose of ths strategy s to costatly rebalace portfolo ad thus beat the market. The weakesses of ths approach are:. To fd the optmal weght,. CRP follows the tred. If short sale s allowed the portfolo, the t wll balace the rsk reward ad maybe extremely favorable durg the dowward tred the stock market.
22 . Markowtz H.M., 95. Portfolo electo. The Joural of Face 7 () Markowtz H.M., Portfolo electo: Effcet Dversfcato of Ivestmets. Wley, New York. 3. Pe-Chag Cha, Che-Hao Lu, 006. A TK type fuzzy rule based system for stock prce predcto. Elsever 4. Kelly Jr A ew terpretato of Iformato Rate. Bell Laboratores 5. htm) 6. chapre Rob Foudatos of Mache Learg. 003 Lecture Notes. 7. (
Average Price Ratios
Average Prce Ratos Morgstar Methodology Paper August 3, 2005 2005 Morgstar, Ic. All rghts reserved. The formato ths documet s the property of Morgstar, Ic. Reproducto or trascrpto by ay meas, whole or
More informationClassic Problems at a Glance using the TVM Solver
C H A P T E R 2 Classc Problems at a Glace usg the TVM Solver The table below llustrates the most commo types of classc face problems. The formulas are gve for each calculato. A bref troducto to usg the
More information1. The Time Value of Money
Corporate Face [00-0345]. The Tme Value of Moey. Compoudg ad Dscoutg Captalzato (compoudg, fdg future values) s a process of movg a value forward tme. It yelds the future value gve the relevat compoudg
More information10.5 Future Value and Present Value of a General Annuity Due
Chapter 10 Autes 371 5. Thomas leases a car worth $4,000 at.99% compouded mothly. He agrees to make 36 lease paymets of $330 each at the begg of every moth. What s the buyout prce (resdual value of the
More informationAPPENDIX III THE ENVELOPE PROPERTY
Apped III APPENDIX III THE ENVELOPE PROPERTY Optmzato mposes a very strog structure o the problem cosdered Ths s the reaso why eoclasscal ecoomcs whch assumes optmzg behavour has bee the most successful
More informationT = 1/freq, T = 2/freq, T = i/freq, T = n (number of cash flows = freq n) are :
Bullets bods Let s descrbe frst a fxed rate bod wthout amortzg a more geeral way : Let s ote : C the aual fxed rate t s a percetage N the otoal freq ( 2 4 ) the umber of coupo per year R the redempto of
More informationof the relationship between time and the value of money.
TIME AND THE VALUE OF MONEY Most agrbusess maagers are famlar wth the terms compoudg, dscoutg, auty, ad captalzato. That s, most agrbusess maagers have a tutve uderstadg that each term mples some relatoshp
More informationIDENTIFICATION OF THE DYNAMICS OF THE GOOGLE S RANKING ALGORITHM. A. Khaki Sedigh, Mehdi Roudaki
IDENIFICAION OF HE DYNAMICS OF HE GOOGLE S RANKING ALGORIHM A. Khak Sedgh, Mehd Roudak Cotrol Dvso, Departmet of Electrcal Egeerg, K.N.oos Uversty of echology P. O. Box: 16315-1355, ehra, Ira sedgh@eetd.ktu.ac.r,
More informationReport 52 Fixed Maturity EUR Industrial Bond Funds
Rep52, Computed & Prted: 17/06/2015 11:53 Report 52 Fxed Maturty EUR Idustral Bod Fuds From Dec 2008 to Dec 2014 31/12/2008 31 December 1999 31/12/2014 Bechmark Noe Defto of the frm ad geeral formato:
More informationPerformance Attribution. Methodology Overview
erformace Attrbuto Methodology Overvew Faba SUAREZ March 2004 erformace Attrbuto Methodology 1.1 Itroducto erformace Attrbuto s a set of techques that performace aalysts use to expla why a portfolo's performace
More informationChapter 3. AMORTIZATION OF LOAN. SINKING FUNDS R =
Chapter 3. AMORTIZATION OF LOAN. SINKING FUNDS Objectves of the Topc: Beg able to formalse ad solve practcal ad mathematcal problems, whch the subjects of loa amortsato ad maagemet of cumulatve fuds are
More informationThe Time Value of Money
The Tme Value of Moey 1 Iversemet Optos Year: 1624 Property Traded: Mahatta Islad Prce : $24.00, FV of $24 @ 6%: FV = $24 (1+0.06) 388 = $158.08 bllo Opto 1 0 1 2 3 4 5 t ($519.37) 0 0 0 0 $1,000 Opto
More informationCHAPTER 2. Time Value of Money 6-1
CHAPTER 2 Tme Value of Moey 6- Tme Value of Moey (TVM) Tme Les Future value & Preset value Rates of retur Autes & Perpetutes Ueve cash Flow Streams Amortzato 6-2 Tme les 0 2 3 % CF 0 CF CF 2 CF 3 Show
More informationECONOMIC CHOICE OF OPTIMUM FEEDER CABLE CONSIDERING RISK ANALYSIS. University of Brasilia (UnB) and The Brazilian Regulatory Agency (ANEEL), Brazil
ECONOMIC CHOICE OF OPTIMUM FEEDER CABE CONSIDERING RISK ANAYSIS I Camargo, F Fgueredo, M De Olvera Uversty of Brasla (UB) ad The Brazla Regulatory Agecy (ANEE), Brazl The choce of the approprate cable
More informationModels for Selecting an ERP System with Intuitionistic Trapezoidal Fuzzy Information
JOURNAL OF SOFWARE, VOL 5, NO 3, MARCH 00 75 Models for Selectg a ERP System wth Itutostc rapezodal Fuzzy Iformato Guwu We, Ru L Departmet of Ecoomcs ad Maagemet, Chogqg Uversty of Arts ad Sceces, Yogchua,
More informationUSEFULNESS OF BOOTSTRAPPING IN PORTFOLIO MANAGEMENT
USEFULNESS OF BOOTSTRAPPING IN PORTFOLIO MANAGEMENT Radovaov Bors Faculty of Ecoomcs Subotca Segedsk put 9-11 Subotca 24000 E-mal: radovaovb@ef.us.ac.rs Marckć Aleksadra Faculty of Ecoomcs Subotca Segedsk
More informationAn Effectiveness of Integrated Portfolio in Bancassurance
A Effectveess of Itegrated Portfolo Bacassurace Taea Karya Research Ceter for Facal Egeerg Isttute of Ecoomc Research Kyoto versty Sayouu Kyoto 606-850 Japa arya@eryoto-uacp Itroducto As s well ow the
More informationMaintenance Scheduling of Distribution System with Optimal Economy and Reliability
Egeerg, 203, 5, 4-8 http://dx.do.org/0.4236/eg.203.59b003 Publshed Ole September 203 (http://www.scrp.org/joural/eg) Mateace Schedulg of Dstrbuto System wth Optmal Ecoomy ad Relablty Syua Hog, Hafeg L,
More informationForecasting Trend and Stock Price with Adaptive Extended Kalman Filter Data Fusion
2011 Iteratoal Coferece o Ecoomcs ad Face Research IPEDR vol.4 (2011 (2011 IACSIT Press, Sgapore Forecastg Tred ad Stoc Prce wth Adaptve Exteded alma Flter Data Fuso Betollah Abar Moghaddam Faculty of
More informationThe Analysis of Development of Insurance Contract Premiums of General Liability Insurance in the Business Insurance Risk
The Aalyss of Developmet of Isurace Cotract Premums of Geeral Lablty Isurace the Busess Isurace Rsk the Frame of the Czech Isurace Market 1998 011 Scetfc Coferece Jue, 10. - 14. 013 Pavla Kubová Departmet
More informationReport 19 Euroland Corporate Bonds
Rep19, Computed & Prted: 17/06/2015 11:38 Report 19 Eurolad Corporate Bods From Dec 1999 to Dec 2014 31/12/1999 31 December 1999 31/12/2014 Bechmark 100% IBOXX Euro Corp All Mats. TR Defto of the frm ad
More informationProjection model for Computer Network Security Evaluation with interval-valued intuitionistic fuzzy information. Qingxiang Li
Iteratoal Joural of Scece Vol No7 05 ISSN: 83-4890 Proecto model for Computer Network Securty Evaluato wth terval-valued tutostc fuzzy formato Qgxag L School of Software Egeerg Chogqg Uversty of rts ad
More informationOn Error Detection with Block Codes
BULGARIAN ACADEMY OF SCIENCES CYBERNETICS AND INFORMATION TECHNOLOGIES Volume 9, No 3 Sofa 2009 O Error Detecto wth Block Codes Rostza Doduekova Chalmers Uversty of Techology ad the Uversty of Gotheburg,
More informationGreen Master based on MapReduce Cluster
Gree Master based o MapReduce Cluster Mg-Zh Wu, Yu-Chag L, We-Tsog Lee, Yu-Su L, Fog-Hao Lu Dept of Electrcal Egeerg Tamkag Uversty, Tawa, ROC Dept of Electrcal Egeerg Tamkag Uversty, Tawa, ROC Dept of
More informationFINANCIAL MATHEMATICS 12 MARCH 2014
FINNCIL MTHEMTICS 12 MRCH 2014 I ths lesso we: Lesso Descrpto Make use of logarthms to calculate the value of, the tme perod, the equato P1 or P1. Solve problems volvg preset value ad future value autes.
More informationBanking (Early Repayment of Housing Loans) Order, 5762 2002 1
akg (Early Repaymet of Housg Loas) Order, 5762 2002 y vrtue of the power vested me uder Secto 3 of the akg Ordace 94 (hereafter, the Ordace ), followg cosultato wth the Commttee, ad wth the approval of
More informationANNEX 77 FINANCE MANAGEMENT. (Working material) Chief Actuary Prof. Gaida Pettere BTA INSURANCE COMPANY SE
ANNEX 77 FINANCE MANAGEMENT (Workg materal) Chef Actuary Prof. Gada Pettere BTA INSURANCE COMPANY SE 1 FUNDAMENTALS of INVESTMENT I THEORY OF INTEREST RATES 1.1 ACCUMULATION Iterest may be regarded as
More informationAbraham Zaks. Technion I.I.T. Haifa ISRAEL. and. University of Haifa, Haifa ISRAEL. Abstract
Preset Value of Autes Uder Radom Rates of Iterest By Abraham Zas Techo I.I.T. Hafa ISRAEL ad Uversty of Hafa, Hafa ISRAEL Abstract Some attempts were made to evaluate the future value (FV) of the expected
More information6.7 Network analysis. 6.7.1 Introduction. References - Network analysis. Topological analysis
6.7 Network aalyss Le data that explctly store topologcal formato are called etwork data. Besdes spatal operatos, several methods of spatal aalyss are applcable to etwork data. Fgure: Network data Refereces
More informationThe analysis of annuities relies on the formula for geometric sums: r k = rn+1 1 r 1. (2.1) k=0
Chapter 2 Autes ad loas A auty s a sequece of paymets wth fxed frequecy. The term auty orgally referred to aual paymets (hece the ame), but t s ow also used for paymets wth ay frequecy. Autes appear may
More informationReport 06 Global High Yield Bonds
Rep06, Computed & Prted: 17/06/2015 11:25 Report 06 Global Hgh Yeld Bods From Dec 2000 to Dec 2014 31/12/2000 31 December 1999 31/12/2014 New Bechmark (01/01/13) 80% Barclays Euro HY Ex Facals 3% Capped
More informationThe Gompertz-Makeham distribution. Fredrik Norström. Supervisor: Yuri Belyaev
The Gompertz-Makeham dstrbuto by Fredrk Norström Master s thess Mathematcal Statstcs, Umeå Uversty, 997 Supervsor: Yur Belyaev Abstract Ths work s about the Gompertz-Makeham dstrbuto. The dstrbuto has
More informationAn Approach to Evaluating the Computer Network Security with Hesitant Fuzzy Information
A Approach to Evaluatg the Computer Network Securty wth Hestat Fuzzy Iformato Jafeg Dog A Approach to Evaluatg the Computer Network Securty wth Hestat Fuzzy Iformato Jafeg Dog, Frst ad Correspodg Author
More informationANOVA Notes Page 1. Analysis of Variance for a One-Way Classification of Data
ANOVA Notes Page Aalss of Varace for a Oe-Wa Classfcato of Data Cosder a sgle factor or treatmet doe at levels (e, there are,, 3, dfferet varatos o the prescrbed treatmet) Wth a gve treatmet level there
More informationGeometric Mean Maximization: Expected, Observed, and Simulated Performance
GM Mamzato Geometrc Mea Mamzato: Epected, Observed, ad Smulated Performace Rafael De Satago & Javer Estrada IESE Busess School 0/16 GM Mamzato Geometrc Mea Mamzato 1. Itroducto 2. Methodology 3. Evdece
More informationA New Bayesian Network Method for Computing Bottom Event's Structural Importance Degree using Jointree
, pp.277-288 http://dx.do.org/10.14257/juesst.2015.8.1.25 A New Bayesa Network Method for Computg Bottom Evet's Structural Importace Degree usg Jotree Wag Yao ad Su Q School of Aeroautcs, Northwester Polytechcal
More informationReport 05 Global Fixed Income
Report 05 Global Fxed Icome From Dec 1999 to Dec 2014 31/12/1999 31 December 1999 31/12/2014 Rep05, Computed & Prted: 17/06/2015 11:24 New Performace Idcator (01/01/12) 100% Barclays Aggregate Global Credt
More informationOptimal multi-degree reduction of Bézier curves with constraints of endpoints continuity
Computer Aded Geometrc Desg 19 (2002 365 377 wwwelsevercom/locate/comad Optmal mult-degree reducto of Bézer curves wth costrats of edpots cotuty Guo-Dog Che, Guo-J Wag State Key Laboratory of CAD&CG, Isttute
More informationReinsurance and the distribution of term insurance claims
Resurace ad the dstrbuto of term surace clams By Rchard Bruyel FIAA, FNZSA Preseted to the NZ Socety of Actuares Coferece Queestow - November 006 1 1 Itroducto Ths paper vestgates the effect of resurace
More informationDECISION MAKING WITH THE OWA OPERATOR IN SPORT MANAGEMENT
ESTYLF08, Cuecas Meras (Meres - Lagreo), 7-9 de Septembre de 2008 DECISION MAKING WITH THE OWA OPERATOR IN SPORT MANAGEMENT José M. Mergó Aa M. Gl-Lafuete Departmet of Busess Admstrato, Uversty of Barceloa
More informationFault Tree Analysis of Software Reliability Allocation
Fault Tree Aalyss of Software Relablty Allocato Jawe XIANG, Kokch FUTATSUGI School of Iformato Scece, Japa Advaced Isttute of Scece ad Techology - Asahda, Tatsuokuch, Ishkawa, 92-292 Japa ad Yaxag HE Computer
More informationPreprocess a planar map S. Given a query point p, report the face of S containing p. Goal: O(n)-size data structure that enables O(log n) query time.
Computatoal Geometry Chapter 6 Pot Locato 1 Problem Defto Preprocess a plaar map S. Gve a query pot p, report the face of S cotag p. S Goal: O()-sze data structure that eables O(log ) query tme. C p E
More informationOnline Appendix: Measured Aggregate Gains from International Trade
Ole Appedx: Measured Aggregate Gas from Iteratoal Trade Arel Burste UCLA ad NBER Javer Cravo Uversty of Mchga March 3, 2014 I ths ole appedx we derve addtoal results dscussed the paper. I the frst secto,
More informationThe simple linear Regression Model
The smple lear Regresso Model Correlato coeffcet s o-parametrc ad just dcates that two varables are assocated wth oe aother, but t does ot gve a deas of the kd of relatoshp. Regresso models help vestgatg
More informationCommercial Pension Insurance Program Design and Estimated of Tax Incentives---- Based on Analysis of Enterprise Annuity Tax Incentives
Iteratoal Joural of Busess ad Socal Scece Vol 5, No ; October 204 Commercal Peso Isurace Program Desg ad Estmated of Tax Icetves---- Based o Aalyss of Eterprse Auty Tax Icetves Huag Xue, Lu Yatg School
More information10/19/2011. Financial Mathematics. Lecture 24 Annuities. Ana NoraEvans 403 Kerchof AnaNEvans@virginia.edu http://people.virginia.
Math 40 Lecture 24 Autes Facal Mathematcs How ready do you feel for the quz o Frday: A) Brg t o B) I wll be by Frday C) I eed aother week D) I eed aother moth Aa NoraEvas 403 Kerchof AaNEvas@vrga.edu http://people.vrga.edu/~as5k/
More informationCommon p-belief: The General Case
GAMES AND ECONOMIC BEHAVIOR 8, 738 997 ARTICLE NO. GA97053 Commo p-belef: The Geeral Case Atsush Kaj* ad Stephe Morrs Departmet of Ecoomcs, Uersty of Pesylaa Receved February, 995 We develop belef operators
More informationAP Statistics 2006 Free-Response Questions Form B
AP Statstcs 006 Free-Respose Questos Form B The College Board: Coectg Studets to College Success The College Board s a ot-for-proft membershp assocato whose msso s to coect studets to college success ad
More informationBeta. A Statistical Analysis of a Stock s Volatility. Courtney Wahlstrom. Iowa State University, Master of School Mathematics. Creative Component
Beta A Statstcal Aalyss of a Stock s Volatlty Courtey Wahlstrom Iowa State Uversty, Master of School Mathematcs Creatve Compoet Fall 008 Amy Froelch, Major Professor Heather Bolles, Commttee Member Travs
More informationThe Application of Intuitionistic Fuzzy Set TOPSIS Method in Employee Performance Appraisal
Vol.8, No.3 (05), pp.39-344 http://dx.do.org/0.457/uesst.05.8.3.3 The pplcato of Itutostc Fuzzy Set TOPSIS Method Employee Performace pprasal Wag Yghu ad L Welu * School of Ecoomcs ad Maagemet, Shazhuag
More informationHow To Value An Annuity
Future Value of a Auty After payg all your blls, you have $200 left each payday (at the ed of each moth) that you wll put to savgs order to save up a dow paymet for a house. If you vest ths moey at 5%
More informationA DISTRIBUTED REPUTATION BROKER FRAMEWORK FOR WEB SERVICE APPLICATIONS
L et al.: A Dstrbuted Reputato Broker Framework for Web Servce Applcatos A DISTRIBUTED REPUTATION BROKER FRAMEWORK FOR WEB SERVICE APPLICATIONS Kwe-Jay L Departmet of Electrcal Egeerg ad Computer Scece
More informationApplications of Support Vector Machine Based on Boolean Kernel to Spam Filtering
Moder Appled Scece October, 2009 Applcatos of Support Vector Mache Based o Boolea Kerel to Spam Flterg Shugag Lu & Keb Cu School of Computer scece ad techology, North Cha Electrc Power Uversty Hebe 071003,
More informationStatistical Pattern Recognition (CE-725) Department of Computer Engineering Sharif University of Technology
I The Name of God, The Compassoate, The ercful Name: Problems' eys Studet ID#:. Statstcal Patter Recogto (CE-725) Departmet of Computer Egeerg Sharf Uversty of Techology Fal Exam Soluto - Sprg 202 (50
More informationSHAPIRO-WILK TEST FOR NORMALITY WITH KNOWN MEAN
SHAPIRO-WILK TEST FOR NORMALITY WITH KNOWN MEAN Wojcech Zelńsk Departmet of Ecoometrcs ad Statstcs Warsaw Uversty of Lfe Sceces Nowoursyowska 66, -787 Warszawa e-mal: wojtekzelsk@statystykafo Zofa Hausz,
More informationOptimal Packetization Interval for VoIP Applications Over IEEE 802.16 Networks
Optmal Packetzato Iterval for VoIP Applcatos Over IEEE 802.16 Networks Sheha Perera Harsha Srsea Krzysztof Pawlkowsk Departmet of Electrcal & Computer Egeerg Uversty of Caterbury New Zealad sheha@elec.caterbury.ac.z
More informationEfficient Compensation for Regulatory Takings. and Oregon s Measure 37
Effcet Compesato for Regulatory Takgs ad Orego s Measure 37 Jack Scheffer Ph.D. Studet Dept. of Agrcultural, Evrometal ad Developmet Ecoomcs The Oho State Uversty 2120 Fyffe Road Columbus, OH 43210-1067
More informationCredibility Premium Calculation in Motor Third-Party Liability Insurance
Advaces Mathematcal ad Computatoal Methods Credblty remum Calculato Motor Thrd-arty Lablty Isurace BOHA LIA, JAA KUBAOVÁ epartmet of Mathematcs ad Quattatve Methods Uversty of ardubce Studetská 95, 53
More informationFINANCIAL FORMULAE. Amount of One or Future Value of One ($1, 1, 1, etc.)... 2. Present Value (or Present Worth) of One ($1, 1, 1, etc.)...
Amout of Oe or Future Value of Oe ($,,, etc.)... 2 Preset Value (or Preset Worth) of Oe ($,,, etc.)... 2 Amout of Oe per Perod... 3 or Future Value of Oe per Perod Preset Value (or Preset Worth) of Oe
More informationOptimal replacement and overhaul decisions with imperfect maintenance and warranty contracts
Optmal replacemet ad overhaul decsos wth mperfect mateace ad warraty cotracts R. Pascual Departmet of Mechacal Egeerg, Uversdad de Chle, Caslla 2777, Satago, Chle Phoe: +56-2-6784591 Fax:+56-2-689657 rpascual@g.uchle.cl
More informationOn formula to compute primes and the n th prime
Joural's Ttle, Vol., 00, o., - O formula to compute prmes ad the th prme Issam Kaddoura Lebaese Iteratoal Uversty Faculty of Arts ad ceces, Lebao Emal: ssam.addoura@lu.edu.lb amh Abdul-Nab Lebaese Iteratoal
More informationSecurity Analysis of RAPP: An RFID Authentication Protocol based on Permutation
Securty Aalyss of RAPP: A RFID Authetcato Protocol based o Permutato Wag Shao-hu,,, Ha Zhje,, Lu Sujua,, Che Da-we, {College of Computer, Najg Uversty of Posts ad Telecommucatos, Najg 004, Cha Jagsu Hgh
More informationCapacitated Production Planning and Inventory Control when Demand is Unpredictable for Most Items: The No B/C Strategy
SCHOOL OF OPERATIONS RESEARCH AND INDUSTRIAL ENGINEERING COLLEGE OF ENGINEERING CORNELL UNIVERSITY ITHACA, NY 4853-380 TECHNICAL REPORT Jue 200 Capactated Producto Plag ad Ivetory Cotrol whe Demad s Upredctable
More informationAutomated Event Registration System in Corporation
teratoal Joural of Advaces Computer Scece ad Techology JACST), Vol., No., Pages : 0-0 0) Specal ssue of CACST 0 - Held durg 09-0 May, 0 Malaysa Automated Evet Regstrato System Corporato Zafer Al-Makhadmee
More informationResearch on the Evaluation of Information Security Management under Intuitionisitc Fuzzy Environment
Iteratoal Joural of Securty ad Its Applcatos, pp. 43-54 http://dx.do.org/10.14257/sa.2015.9.5.04 Research o the Evaluato of Iformato Securty Maagemet uder Itutostc Fuzzy Evromet LI Feg-Qua College of techology,
More informationA Novel Resource Pricing Mechanism based on Multi-Player Gaming Model in Cloud Environments
1574 JOURNAL OF SOFTWARE, VOL. 9, NO. 6, JUNE 2014 A Novel Resource Prcg Mechasm based o Mult-Player Gamg Model Cloud Evromets Tea Zhag, Peg Xao School of Computer ad Commucato, Hua Isttute of Egeerg,
More informationThe Digital Signature Scheme MQQ-SIG
The Dgtal Sgature Scheme MQQ-SIG Itellectual Property Statemet ad Techcal Descrpto Frst publshed: 10 October 2010, Last update: 20 December 2010 Dalo Glgorosk 1 ad Rue Stesmo Ødegård 2 ad Rue Erled Jese
More informationThe impact of service-oriented architecture on the scheduling algorithm in cloud computing
Iteratoal Research Joural of Appled ad Basc Sceces 2015 Avalable ole at www.rjabs.com ISSN 2251-838X / Vol, 9 (3): 387-392 Scece Explorer Publcatos The mpact of servce-oreted archtecture o the schedulg
More informationA two-stage stochastic mixed-integer program modelling and hybrid solution approach to portfolio selection problems
A two-stage stochastc mxed-teger program modellg ad hybrd soluto approach to portfolo selecto problems Fag He, Rog Qu The Automated Schedulg, Optmsato ad Plag (ASAP) Group, School of Computer Scece The
More informationSTATISTICAL PROPERTIES OF LEAST SQUARES ESTIMATORS. x, where. = y - ˆ " 1
STATISTICAL PROPERTIES OF LEAST SQUARES ESTIMATORS Recall Assumpto E(Y x) η 0 + η x (lear codtoal mea fucto) Data (x, y ), (x 2, y 2 ),, (x, y ) Least squares estmator ˆ E (Y x) ˆ " 0 + ˆ " x, where ˆ
More informationChapter Eight. f : R R
Chapter Eght f : R R 8. Itroducto We shall ow tur our atteto to the very mportat specal case of fuctos that are real, or scalar, valued. These are sometmes called scalar felds. I the very, but mportat,
More informationStudy on prediction of network security situation based on fuzzy neutral network
Avalable ole www.ocpr.com Joural of Chemcal ad Pharmaceutcal Research, 04, 6(6):00-06 Research Artcle ISS : 0975-7384 CODE(USA) : JCPRC5 Study o predcto of etwork securty stuato based o fuzzy eutral etwork
More informationHow To Make A Supply Chain System Work
Iteratoal Joural of Iformato Techology ad Kowledge Maagemet July-December 200, Volume 2, No. 2, pp. 3-35 LATERAL TRANSHIPMENT-A TECHNIQUE FOR INVENTORY CONTROL IN MULTI RETAILER SUPPLY CHAIN SYSTEM Dharamvr
More informationAggregation Functions and Personal Utility Functions in General Insurance
Acta Polytechca Huarca Vol. 7, No. 4, 00 Areato Fuctos ad Persoal Utlty Fuctos Geeral Isurace Jaa Šprková Departmet of Quattatve Methods ad Iformato Systems, Faculty of Ecoomcs, Matej Bel Uversty Tajovského
More informationMathematics of Finance
CATE Mathematcs of ace.. TODUCTO ths chapter we wll dscuss mathematcal methods ad formulae whch are helpful busess ad persoal face. Oe of the fudametal cocepts the mathematcs of face s the tme value of
More informationCyber Journals: Multidisciplinary Journals in Science and Technology, Journal of Selected Areas in Telecommunications (JSAT), January Edition, 2011
Cyber Jourals: Multdscplary Jourals cece ad Techology, Joural of elected Areas Telecommucatos (JAT), Jauary dto, 2011 A ovel rtual etwork Mappg Algorthm for Cost Mmzg ZHAG hu-l, QIU Xue-sog tate Key Laboratory
More informationA Study of Unrelated Parallel-Machine Scheduling with Deteriorating Maintenance Activities to Minimize the Total Completion Time
Joural of Na Ka, Vol. 0, No., pp.5-9 (20) 5 A Study of Urelated Parallel-Mache Schedulg wth Deteroratg Mateace Actvtes to Mze the Total Copleto Te Suh-Jeq Yag, Ja-Yuar Guo, Hs-Tao Lee Departet of Idustral
More informationCHAPTER 13. Simple Linear Regression LEARNING OBJECTIVES. USING STATISTICS @ Sunflowers Apparel
CHAPTER 3 Smple Lear Regresso USING STATISTICS @ Suflowers Apparel 3 TYPES OF REGRESSION MODELS 3 DETERMINING THE SIMPLE LINEAR REGRESSION EQUATION The Least-Squares Method Vsual Exploratos: Explorg Smple
More informationn. We know that the sum of squares of p independent standard normal variables has a chi square distribution with p degrees of freedom.
UMEÅ UNIVERSITET Matematsk-statstska sttutoe Multvarat dataaalys för tekologer MSTB0 PA TENTAMEN 004-0-9 LÖSNINGSFÖRSLAG TILL TENTAMEN I MATEMATISK STATISTIK Multvarat dataaalys för tekologer B, 5 poäg.
More informationSP Betting as a Self-Enforcing Implicit Cartel
SP Bettg as a Self-Eforcg Implct Cartel by Ad Schytzer ad Avcha Sr Departmet of Ecoomcs Bar-Ila Uversty Ramat Ga Israel 52800 e-mal: schyta@mal.bu.ac.l srav@mal.bu.ac.l Abstract A large share of the UK
More informationThe Reliable Integrated Decision for Stock Price by Multilayer Integration Time-series of Coverage Reasonability
Proceedgs of the Iteratoal MultCoferece of Egeers ad Computer Scetsts 009 Vol I The Relable Itegrated Decso for Stock Prce by Multlayer Itegrato Tme-seres of Coverage Reasoablty Chu-M Hug ad Chu-Wu Yeh*
More informationIP Network Topology Link Prediction Based on Improved Local Information Similarity Algorithm
Iteratoal Joural of Grd Dstrbuto Computg, pp.141-150 http://dx.do.org/10.14257/jgdc.2015.8.6.14 IP Network Topology Lk Predcto Based o Improved Local Iformato mlarty Algorthm Che Yu* 1, 2 ad Dua Zhem 1
More informationChapter 3 0.06 = 3000 ( 1.015 ( 1 ) Present Value of an Annuity. Section 4 Present Value of an Annuity; Amortization
Chapter 3 Mathematcs of Face Secto 4 Preset Value of a Auty; Amortzato Preset Value of a Auty I ths secto, we wll address the problem of determg the amout that should be deposted to a accout ow at a gve
More informationIntegrating Production Scheduling and Maintenance: Practical Implications
Proceedgs of the 2012 Iteratoal Coferece o Idustral Egeerg ad Operatos Maagemet Istabul, Turkey, uly 3 6, 2012 Itegratg Producto Schedulg ad Mateace: Practcal Implcatos Lath A. Hadd ad Umar M. Al-Turk
More informationA Parallel Transmission Remote Backup System
2012 2d Iteratoal Coferece o Idustral Techology ad Maagemet (ICITM 2012) IPCSIT vol 49 (2012) (2012) IACSIT Press, Sgapore DOI: 107763/IPCSIT2012V495 2 A Parallel Trasmsso Remote Backup System Che Yu College
More informationFractal-Structured Karatsuba`s Algorithm for Binary Field Multiplication: FK
Fractal-Structured Karatsuba`s Algorthm for Bary Feld Multplcato: FK *The authors are worg at the Isttute of Mathematcs The Academy of Sceces of DPR Korea. **Address : U Jog dstrct Kwahadog Number Pyogyag
More informationUsing Phase Swapping to Solve Load Phase Balancing by ADSCHNN in LV Distribution Network
Iteratoal Joural of Cotrol ad Automato Vol.7, No.7 (204), pp.-4 http://dx.do.org/0.4257/jca.204.7.7.0 Usg Phase Swappg to Solve Load Phase Balacg by ADSCHNN LV Dstrbuto Network Chu-guo Fe ad Ru Wag College
More informationADAPTATION OF SHAPIRO-WILK TEST TO THE CASE OF KNOWN MEAN
Colloquum Bometrcum 4 ADAPTATION OF SHAPIRO-WILK TEST TO THE CASE OF KNOWN MEAN Zofa Hausz, Joaa Tarasńska Departmet of Appled Mathematcs ad Computer Scece Uversty of Lfe Sceces Lubl Akademcka 3, -95 Lubl
More informationSimple Linear Regression
Smple Lear Regresso Regresso equato a equato that descrbes the average relatoshp betwee a respose (depedet) ad a eplaator (depedet) varable. 6 8 Slope-tercept equato for a le m b (,6) slope. (,) 6 6 8
More informationM. Salahi, F. Mehrdoust, F. Piri. CVaR Robust Mean-CVaR Portfolio Optimization
M. Salah, F. Mehrdoust, F. Pr Uversty of Gula, Rasht, Ira CVaR Robust Mea-CVaR Portfolo Optmzato Abstract: Oe of the most mportat problems faced by every vestor s asset allocato. A vestor durg makg vestmet
More informationOptimization Model in Human Resource Management for Job Allocation in ICT Project
Optmzato Model Huma Resource Maagemet for Job Allocato ICT Project Optmzato Model Huma Resource Maagemet for Job Allocato ICT Project Saghamtra Mohaty Malaya Kumar Nayak 2 2 Professor ad Head Research
More informationAnalysis of Multi-product Break-even with Uncertain Information*
Aalyss o Mult-product Break-eve wth Ucerta Iormato* Lazzar Lusa L. - Morñgo María Slva Facultad de Cecas Ecoómcas Uversdad de Bueos Ares 222 Córdoba Ave. 2 d loor C20AAQ Bueos Ares - Argeta lazzar@eco.uba.ar
More informationDYNAMIC FACTOR ANALYSIS OF FINANCIAL VIABILITY OF LATVIAN SERVICE SECTOR COMPANIES
DYNAMIC FACTOR ANALYSIS OF FINANCIAL VIABILITY OF LATVIAN SERVICE SECTOR COMPANIES Nadezhda Koleda 1, Natalja Lace 2 1 Rga Techcal Uversty, Latva, adezhda.koleda@ge.com 2 Rga Techcal Uversty, Latva, atalja.lace@rtu.lv
More informationSettlement Prediction by Spatial-temporal Random Process
Safety, Relablty ad Rs of Structures, Ifrastructures ad Egeerg Systems Furuta, Fragopol & Shozua (eds Taylor & Fracs Group, Lodo, ISBN 978---77- Settlemet Predcto by Spatal-temporal Radom Process P. Rugbaapha
More informationSpeeding up k-means Clustering by Bootstrap Averaging
Speedg up -meas Clusterg by Bootstrap Averagg Ia Davdso ad Ashw Satyaarayaa Computer Scece Dept, SUNY Albay, NY, USA,. {davdso, ashw}@cs.albay.edu Abstract K-meas clusterg s oe of the most popular clusterg
More informationBayesian Network Representation
Readgs: K&F 3., 3.2, 3.3, 3.4. Bayesa Network Represetato Lecture 2 Mar 30, 20 CSE 55, Statstcal Methods, Sprg 20 Istructor: Su-I Lee Uversty of Washgto, Seattle Last tme & today Last tme Probablty theory
More informationA particle Swarm Optimization-based Framework for Agile Software Effort Estimation
The Iteratoal Joural Of Egeerg Ad Scece (IJES) olume 3 Issue 6 Pages 30-36 204 ISSN (e): 239 83 ISSN (p): 239 805 A partcle Swarm Optmzato-based Framework for Agle Software Effort Estmato Maga I, & 2 Blamah
More informationAN ALGORITHM ABOUT PARTNER SELECTION PROBLEM ON CLOUD SERVICE PROVIDER BASED ON GENETIC
Joural of Theoretcal ad Appled Iformato Techology 0 th Aprl 204. Vol. 62 No. 2005-204 JATIT & LLS. All rghts reserved. ISSN: 992-8645 www.jatt.org E-ISSN: 87-395 AN ALGORITHM ABOUT PARTNER SELECTION PROBLEM
More informationNetwork dimensioning for elastic traffic based on flow-level QoS
Network dmesog for elastc traffc based o flow-level QoS 1(10) Network dmesog for elastc traffc based o flow-level QoS Pas Lassla ad Jorma Vrtamo Networkg Laboratory Helsk Uversty of Techology Itroducto
More informationProceedings of the 2010 Winter Simulation Conference B. Johansson, S. Jain, J. Montoya-Torres, J. Hugan, and E. Yücesan, eds.
Proceedgs of the 21 Wter Smulato Coferece B. Johasso, S. Ja, J. Motoya-Torres, J. Huga, ad E. Yücesa, eds. EMPIRICAL METHODS OR TWO-ECHELON INVENTORY MANAGEMENT WITH SERVICE LEVEL CONSTRAINTS BASED ON
More information