Research ArticleOpen accessPhrase in the titleMarkov Property of the Solution of the Stochastic Generalized EquationsKhaldi KhaledSome models of probabilities are described by generalized stochastic equations. These models (like that prediction) lead to the resolution of boundary problems for random distributions (generalized equations). We are interested in the equation in Lx = f in S ⊂ IRd where L is a linear operator, f is a random distribution and to the class of boundary conditions on … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,885 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Markov Switching Regime Model of Malaysia Property CycleAbdul Mutalib Beksin, Bawa Chafe AbdullahiProblem statement: Non-linear models such as the Markov Switching regime (MS) method of modeling business cycles, in principle can be used to model property cycle. Approach: The MS model can distinguish property cycle in recession and expansion phases and is sufficiently flexible to allow different relationships to apply over these phases. The Malaysian property cycle was modeled using a MS … …American Journal of Applied Sciences, Vol. 8, Issue 11 · 10 Oct 2011 · 6,923 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDissecting Two Approaches to Energy PricesJulius N. Esunge, Andrew Snyder-BeattieProblem statement: This research tested the viability of Geometric Brownian Motion as a stochastic model of oil prices. Approach: Using autoregressions and unit root tests, we determined that oil prices tend not to exhibit the Markov Property and thus GBM may be a problematic model. Results: Instead, oil prices seem to be mean reverting over the long run, possibly following … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,100 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Flexible, Real-Time Algorithm for Simulating Correlated Random Fields and Its PropertiesMichael A. Kouritzin, Fraser Newton, Biao WuContemporary real-time problems like CAPTCHA generation and optical character recognition can be solved effectively using correlated random fields. These random fields should be produced on a graph in order that problems of any dimension and shape can be handled. However, traditional solutions are often too slow, inaccurate or both. Herein, the Quick Simulation Random Field algorithm to produce correlated random … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 29 Sep 2017 · 7,069 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstablishing 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 accessIn the abstractApplication 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