Theory of Probability and Its Applications · 1976 · 69 citations · 4 references
BusinessDecision SciencesMathematicsDecision TheoryInformation TheoryProbability TheoryControl TheoryDecision-making Under UncertaintyMarkov ProcessesState-space ModelsStochastic ControlDecision Making Under Incomplete InformationDecision Theory Under Partial InformationStatistical Decision TheoryStochastic State-space Models
Previous article Next article Reduction of a Controlled Markov Model with Incomplete Data to a Problem with Complete Information in the Case of Borel State and Control SpaceA. A. YushkevichA. A. Yushkevichhttps://doi.org/10.1137/1121014PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. N. Shiryaev, On the theory of decision functions and control of an observation process with incomplete data, Trans. Third Prague Confer. on Inform. Theory etc., Prague, 1964, 657–682, (In Russian.) 0207.46705 Google Scholar[2] A. N. Širjaev, Some new results in the theory of controlled random processesTrans. Fourth Prague Conf. on Information Theory, Statistical Decision Functions, Random Processes (Prague, 1965), Academia, Prague, 1967, 131–203, (In Russian.) MR0225593 Google Scholar[3] E. B. Dynkin, Controlled random sequences, Theory Prob. Applications, 10 (1965), 1–14 10.1137/1110001 LinkGoogle Scholar[4] K. Hinderer, Foundations of non-stationary dynamic programming with discrete time parameter, Lecture Notes in Operations Research and Mathematical Systems, Vol. 33, Springer-Verlag, Berlin, 1970vi+160 MR0267890 0202.18401 CrossrefGoogle Scholar[5] Yoshikazu Sawaragi and , Tsuneo Yoshikawa, Discrete-time Markovian decision processes with incomplete state observation, Ann. Math. Statist., 41 (1970), 78–86 MR0261730 0188.48102 CrossrefGoogle Scholar[6] K. R. Parthasarathy, Probability measures on metric spaces, Probability and Mathematical Statistics, No. 3, Academic Press Inc., New York, 1967xi+276, London MR0226684 0153.19101 CrossrefGoogle Scholar[7] Ralph E. Strauch, Negative dynamic programming, Ann. Math. Statist., 37 (1966), 871–890 MR0194243 0144.43201 CrossrefGoogle Scholar[8] E. B. Dynkin, Foundations of the Theory of Markov Processes, Fizmatigiz, Moscow, 1959, (In Russian.) Translated into German: Die Grundlagen der Theorie der Markoffschen Prozesse, Springer, Berlin, 1961. Google Scholar[9A] Nicolas Bourbaki, Elements of mathematics. General topology. Part 1, Hermann, Paris, 1966vii+437 MR0205210 Google Scholar[9B] Nicolas Bourbaki, Elements of mathematics. General topology. Part 2, Hermann, Paris, 1966iv+363 MR0205211 Google Scholar[10] Detlef Rhenius, Incomplete information in Markovian decision models, Ann. Statist., 2 (1974), 1327–1334 MR0378840 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Markov Decision Processes with Incomplete Information and Semiuniform Feller Transition ProbabilitiesEugene A. Feinberg, Pavlo O. Kasyanov, and Michael Z. 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Ralph E. Strauch · The Annals of Mathematical Statistics · 1966 · 406 citations · Full text
Incomplete Information in Markovian Decision Models
Detlef Rhenius · The Annals of Statistics · 1974 · 92 citations · Full text
E. B. Dynkin · Theory of Probability and Its Applications · 1965 · 75 citations