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30 articles for “Markov chain”

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Research ArticleOpen accessPhrase in the titleUSING COLUMN GENERATION TECHNIQUE TO ESTIMATE PROBABILITY STATISTICS IN TRANSITION MATRIX OF LARGE SCALE MARKOV CHAIN WITH LEAST ABSOLUTE DEVIATION CRITERIAWanida Lerspipatthananon, Peerayuth CharnsethikulThe Least Absolute Deviation (LAD) method is the one of many methods used to estimate transition probability matrix of Markov Chain. It can be formulated as a Linear Programming Problem (LP) and solved using its regular state of the art software. However, when the Markov Chain has a large number of states and historical state probabilities data, the corresponding LP … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 23 Sep 2014 · 7,116 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleMODELING OF FUTURE LAND COVER LAND USE CHANGE IN NORTH CAROLINA USING MARKOV CHAIN AND CELLULAR AUTOMATA MODELSayem M. Zaman, Manoj K. JhaState wide variant topographic features in North Carolina attract the hydro-climatologist. There is none modeling study found that predict future Land Cover Land Use (LCLU) change for whole North Carolina. In this study, satellite-derived land cover maps of year 1992, 2001 and 2006 of North Carolina were integrated within the framework of the Markov-Cellular Automata (Markov-CA) model which combines the … …American Journal of Engineering and Applied Sciences, Vol. 7, Issue 3 · 23 Aug 2014 · 8,712 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleREPRESENTING MARKOV CHAINS WITH TRANSITION DIAGRAMSFarida KachapovaStochastic processes have many useful applications and are taught in several university programmes. Students often encounter difficulties in learning stochastic processes and Markov chains, in particular. In this article we describe a teaching strategy that uses transition diagrams to represent a Markov chain and to re-define properties of its states in simple terms of directed graphs. This strategy utilises the … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 17 May 2013 · 7,534 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEstablishing an Adaptive Production-Procurement System with Markov Chain Approach Associated with 3C TheoryChun-Ta LinProblem statement: In this study, we classify the imperfect situations that the unreliability of production and the defective products might be incurred from production process into eight independently recurrent categories. Approach: With the property of recurrence of Markov chain, the limiting probability of each imperfect production category can be calculated through the transition probabilities matrix generated from these imperfect production … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,352 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleApplication of Markov Chains to Stock TrendsKevin J. Doubleday, Julius N. EsungeProblem statement: Modeling of the Dow Jones Industrial Average is frequently attempted in order to determine trading strategies with maximum payoff. Changes in the DJIA are important since movements may affect both individuals and corporations profoundly. Previous work showed that modeling a market as a random walk was valid and that a market may be viewed as having the Markov … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 8,558 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleComputational Discrete Time Markov Chain with Correlated Transition ProbabilitiesPeerayuth CharnsethikulThis study presents a computational procedure for analyzing statistics of steady state probabilities in a discrete time Markov chain with correlations among their transition probabilities. The proposed model simply uses the first order Taylor’s series expansion and statistical expected value properties to obtain the resulting linear matrix equations system. Computationally, the bottleneck is O(n4) but can be improved by distributed … …Journal of Mathematics and Statistics, Vol. 2, Issue 4 · 31 Dec 2007 · 6,648 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleRetail Banking Loan Portfolio Equilibrium Mix : A Markov Chain Model AnalysisV. Thyagarajan, Saiful Maznan Bin MohamedThe variance analysis of actual loan sanctions with the non-documented method of loan allocation of the selected retail bank, over a period of 24 months, revealed that there is a scope to improve their income earnings. Realizing its importance Markov Chain Market Share model was applied to inter temporal data of loan disbursements of the selected bank. By applying Estimate … …American Journal of Applied Sciences, Vol. 2, Issue 1 · 31 Jan 2005 · 7,576 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleBAYESIAN MODEL AVERAGING WITH MARKOV CHAIN MONTE CARLO FOR CALIBRATING TEMPERATURE FORECAST FROM COMBINATION OF TIME SERIES MODELSHeri Kuswanto, Mega Rahmatia SariGlobal warming is an important issue related to the climate and weather forecast. It is shown by significantly increasing the atmospheric temperature level. Hence, improving the forecast accuracy of temperature is an important issue. The forecast is commonly done by performing a deterministic forecast meaning that the system will generate a point forecast without taking into account the uncertainty induced … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 29 Nov 2013 · 7,078 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAssessing Convergence of the Markov Chain Monte Carlo Method in Multivariate CaseDenismar Alves Nogueira, Thelma Safadi, Daniel Furtado Ferreira, Eric Batista FerreiraThe formal convergence diagnosis of the Markov Chain Monte Carlo (MCMC) is made using univariate and multivariate criteria. In 1998, a multivariate extension of the univariate criterion of multiple sequences was proposed. However, due to some problems of that multivariate criterion, an alternative form of calculation was proposed in addition to the two new alternatives for multivariate convergence criteria. In … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 8 Jan 2013 · 7,019 accessesView PDFCite
Research ArticleOpen accessPhrase in the titlePredicting the Movement of Dentistry Students using Markov ChainEsmail Hassan Abdullatif Al-SabriDeveloping and increasing the effectiveness of any system (university system) depends on continuous evaluation and improvement using quantitative methods based on quantitative measurement and efficient mathematical models that can predict the future of the system, discover its improvement requirements and increase its effectiveness. This study is an application of the Stochastics Markov Process for students of the College of Dentistry … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 19 Mar 2022 · 5,998 accessesView PDFCite