Some contributions to the theory of denumerable Markov chains

Author:

Derman Cyrus

Abstract

§1 deals with the statistical regularity properties of a denumerable number of particles, all moving about the states of a Markov chain according to the same transition probabilities. §2 deals with the problem of obtaining a sharper version of a strong limit theorem proved independently by Harris and Lévy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. K. L. Chung, Lecture notes on Markov chains, Grad. Math. Stat. Soc., Columbia University, New York, 1951.

2. Contributions to the theory of Markov chains;Chung, Kai Lai;J. Research Nat. Bur. Standards,1953

3. \bysame, Limit theorems in probability, Lecture Notes, Grad. Math. Stat. Soc., Columbia University, New York, 1950.

4. Probability limit theorems assuming only the first moment. I;Chung, K. L.;Mem. Amer. Math. Soc.,1951

5. A solution to a set of fundamental equations in Markov chains;Derman, C.;Proc. Amer. Math. Soc.,1954

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