On the strong law of large numbers for functionals of countable nonhomogeneous Markov chains

DOI10.1016/0304-4149(94)90129-5zbMath0799.60027OpenAlexW2005199720MaRDI QIDQ1327558

Guoxin Liu, Wen Liu

Publication date: 17 November 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90129-5

zbMATH Keywords

strong law of large numbersconditional expectationalmost sure convergencefunctionals of nonhomogeneous Markov chains

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (7)

SOME LIMIT THEOREMS OF DELAYED AVERAGES FOR COUNTABLE NONHOMOGENEOUS MARKOV CHAINS ⋮ On strong limit theorems for general information sources with an application to AEP ⋮ A class of strong limit theorems for the sequences of arbitrary random variables. ⋮ Strong law of large numbers for countable nonhomogeneous Markov chains ⋮ Asymptotic Behavior of a Randomization Test for a Response-Adaptive Design ⋮ Convergence in the Cesàro sense and strong law of large numbers for nonhomogeneous Markov chains ⋮ On almost sure convergence for sums of stochastic sequence

Cites Work

• Relative entropy densities and a class of limit theorems of the sequence of m-valued random variables
• Principle of conditioning in limit theorems for sums of random variables
• Some Theorems Concerning the Strong Law of Large Numbers for Non- Homogeneous Markov Chains
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