ArticleOriginal scientific text

Title

A generalization of Ueno's inequality for n-step transition probabilities

Authors 1

Affiliations

  1. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

We provide a generalization of Ueno's inequality for n-step transition probabilities of Markov chains in a general state space. Our result is relevant to the study of adaptive control problems and approximation problems in the theory of discrete-time Markov decision processes and stochastic games.

Keywords

adaptive control, transition probabilities, stochastic control, Markov chains

Bibliography

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Pages:
295-299
Main language of publication
English
Received
1996-12-09
Accepted
1997-12-15
Published
1998
Exact and natural sciences