Abstract
AbstractThe main purpose of the note is to compare necessary and sufficient conditions for weak ergodicity of finite inhomogeneous Markov chains given by Doeblin (3) and Hajnal (4), the former paper being little known; and more generally to expand on the nature and consequences of Doeblin's approach as compared to Hajnal's in some detail. A consequence is some insight into the relation between various ‘coefficients of ergodicity’.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. On the theory of inhomogeneous Markov chains [in Russian];Sarymsakov;Dokl. Akad. Nauk. Uzbek. S.S.R.,1956
2. Ergodic theorems for sequences of infinite stochastic matrices
3. On an ergodic theorem for inhomogeneous Markov chains [in Russian];Sarymsakov;Sredneaziatskii Cos. Universitet im. V. I. Lenina: Trudy.,1958
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