Operator Methods in Limit Theorems for Markov Processes

DOI10.1137/1129112zbMATH Open0607.60053OpenAlexW2021263147MaRDI QIDQ3746610

M. V. Kartashov

Publication date: 1985

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1129112

zbMATH Keywords

exponential distributionstationary distributionbirth and death chainfirst passage of a levelrandom walk on the half line

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Distribution theory (60E99) Limit theorems in probability theory (60F99)

Related Items (7)

A note on asymptotic expansions for Markov chains using operator theory ⋮ The conditional Lindeberg-Trotter operator in the resolution of the limit theorems with rates for dependent random variables. Applications to Markovian processes ⋮ The Heckman-Opdam Markov processes ⋮ On a certain operator related to Blackwell's Markov chain ⋮ Operator theoretic phenomena of the Markov operators which are induced by stochastic difference equations ⋮ The use of Markov operators to constructing generalised probabilities ⋮ Title not available (Why is that?)

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