On the Distribution of the Statistic of the Most Powerful Test for Two Simple Hypotheses on a Compound Markov Chain

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Previous article Next article On the Distribution of the Statistic of the Most Powerful Test for Two Simple Hypotheses on a Compound Markov ChainP. F. BelyaevP. F. Belyaevhttps://doi.org/10.1137/1112084PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. S. Bartlett, An introduction to stochastic processes, with special reference to methods and applications, Cambridge, at the University Press, 1955xiv+312 MR0068772 0068.11801 Google Scholar[2] V. I. Romanovskii, Discrete Markov Chains, GTII, M.-L., 1949, (In Russian.) Google Scholar[3] P. F. Belyaev, The probability of non-occurrence of a given number of outcomes, Theory Prob. Applications, 9 (1964), 489–494, (English translation.) 10.1137/1109067 0232.60042 LinkGoogle Scholar[4] P. F. Belyaev, On the probability of the non-appearance of a given number of s-tuples in compound Markov chains, Theory Prob. Applications, 10 (1965), 496–499, (English translation.) 10.1137/1110061 0168.16301 LinkGoogle Scholar[5] Maurice Parodi, La localisation des valeurs caractéristiques des matrices et ses applications. Préface de H. Villat, Traité de Physique Théorique et de Physique Mathématique, XII, Gauthier-Villars, Paris, 1959xi+172, Also: Localization of eigenvalues of matrices and applications, Moscow, IL., 1960. (In Russian.) MR0110719 0087.01602 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the Asymptotic Behavior of the Maximum in a Homogeneous Markov Chain with a Large Number of StatesA. S. Ambrosimov17 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 2AbstractPDF (692 KB)On the Problem of the Joint Distribution of Frequencies of s-Chains in Compound Markov Chains with a Large Number of StatesP. F. Belyaev17 July 2006 | Theory of Probability & Its Applications, Vol. 14, No. 2AbstractPDF (739 KB)On the Joint Distribution of Frequencies of Long s-Cycles in a Multinomial Scheme with Equiprobable EventsP. F. Belyaev17 July 2006 | Theory of Probability & Its Applications, Vol. 14, No. 3AbstractPDF (618 KB) Volume 12, Issue 4| 1967Theory of Probability & Its Applications History Submitted:07 June 1966Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1112084Article page range:pp. 678-682ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics