The general discrete time disorder problem

References

• Shiryayev , A. N . 1963 . On optimum methods in quickest detection problems . Theory of Probability and its Applications , 8 : 22 – 46 .
   Google Scholar
• Shiryayev , A. N . 1978 . Optimal Stopping Rules , New York : Springer-Verlag .
   Google Scholar
• Chow , Y , Robbins , H and Siegmund , D . 1971 . “ Great Expectations ” . In The theory of optimal stopping , Boston : Mifflin Co . Houghton
   Google Scholar
• Bojdecki , T. 1979 . Probability maximizing approach to optimal stopping and its application to a disorder problem . Stochastics , 3 : 6171
   Google Scholar
• Pollak , M. 1985 . Optimal detection of a change in distribution . Ann Statist , 13 : 206 – 227 .
   Web of Science ®Google Scholar
• Davis , M. H. A. 1974 . A note on the Poisson disorder process , Zakopane : Proc. Int. Conf. on Control Theory .
   Google Scholar
• Davis , M. H. A . 1975 . “ he application of non-linear filtering to fault detection in linear systems ” . In IEEE Trans, on Automatic Control 257 – 259 .
   Google Scholar
• Balakrishnan , A. V. 1981 . Stochastic Control of Randomly Varying Systems , 780 – 785 . San Diego : IEEE,CDC .
   Google Scholar
• Mazumdar , R. R. On Minimal Time Detection and Control of a Class of Randomly Varying Systems Edited by: Mazumdar , R.R . PhD Dissertation UCLA
   Google Scholar
• Liptser , R.S and Shiryayev , A. N . Statistics of Random Processes , Vol. 1-2 , New York : Springer .
   Google Scholar
• Bojdecki , T and Hosza , J. 1984 . On a generalized disorder problem . Stochastic Processes and Their Applications , 18 : 349 – 359 .
   Web of Science ®Google Scholar
• Billingsley , P . 1979 . Probability and Measure , New York : J. Wiley and Sons .
   Google Scholar
• Dickinson , B.W and Sontag , E. P . 1985 . Dynamical realizations of sufficient sequences . IEEE Transactions on Information Theorey , 31 : 670 – 676 .
   Web of Science ®Google Scholar
• Pelkowitz , L . The general Markov chain disorder problem submitted for publication
   Google Scholar