dc.contributor.advisor Kerimov, Azer dc.contributor.author Mallak, Saed dc.date.accessioned 2016-01-08T20:13:33Z dc.date.available 2016-01-08T20:13:33Z dc.date.issued 1996 dc.identifier.uri http://hdl.handle.net/11693/17805 dc.description Ankara : Department of Mathematics and Institute of Engineering and Sciences of Bilkent University, 1996. en_US dc.description Thesis (Master's) -- Bilkent University, 1996. en_US dc.description Includes bibliographical references leaves leaf 29 en_US dc.description.abstract In thi.s work, we studierl the Ergodicilv of Non-Stationary .Markov chains. en_US We gave several e.xainples with different cases. We proved that given a sec[uence of Markov chains such that the limit of this sec|uence is an Ergodic Markov chain, then the limit of the combination of the elements of this sequence is again Ergodic (under some condition if the state space is infinite). We also proved that the limit of the combination of an arbitrary sequence of Markov chains on a finite state space is Weak Ergodic if it satisfies some condition. Under the same condition, the limit of the combination of a doubly stochastic sequence of Markov chains is Ergodic. dc.description.statementofresponsibility Mallak, Saed en_US dc.format.extent vi, 29 leaves en_US dc.language.iso English en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject Markov chain en_US dc.subject Stochastiic en_US dc.subject Doubly stochastic en_US dc.subject Irreducible en_US dc.subject Aperiodic en_US matrix dc.subject Persistent en_US dc.subject Transient en_US dc.subject Ergodic en_US dc.subject Ergodic Theorem en_US dc.subject.lcc QA274.7 .M35 1996 en_US dc.subject.lcsh Markov processes. en_US dc.subject.lcsh Ergodic theory. en_US dc.subject.lcsh Limit theorems (Probability theory). en_US dc.title Non-stationary Markov chains en_US dc.type Thesis en_US dc.department Department of Mathematics en_US dc.publisher Bilkent University en_US dc.description.degree M.S. en_US
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