Navaei, Leader2024-07-122024-07-122009Navaei, L. (2009). Hypotheses optimal testing via large deviations techniques. Maltepe Üniversitesi. s. 233.9.78605E+12https://hdl.handle.net/20.500.12415/2909The problem of many hypotheses testing for a model consisting of L > 2 hypotheses on distribution of a Markov chain is studied. We apply large deviations techniques (LDT) and the method of types to the empirical distributions of finite states of Markov chain. It is proved that this method of investigation in solving the problem of logarithmically asymptotically optimal (LAO) hypotheses testing is easier than the procedure that was introduced by Haroutunian. The matrix of exponents E = {El|m}, m, l = 1, L of error probabilities of the LAO test El|m(?) = lim N?? ? 1 N log ?l|m(?N ), where ? N l|m(?N ) for l 6= m is the probability to accept the hypothesis l, when the hypothesis m is true, is determined.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object234233