ArticleOriginal scientific text

Title

On adaptive control of Markov chains using nonparametric estimation

Authors 1, 2

Affiliations

  1. Faculty of Economics, University of Białystok, Warszawska 63, 15-062 Białystok, Poland,
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

Two adaptive procedures for controlled Markov chains which are based on a nonparametric window estimation are shown.

Keywords

controlled Markov chain, estimation, adaptive control

Bibliography

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  4. T. Duncan, B. Pasik-Duncan and Ł. Stettner, Discretized maximum likelihood and almost optimal adaptive control of ergodic adaptive models, SIAM J. Control Optim. 36 (1998), 422-446.
  5. T. Duncan, B. Pasik-Duncan and Ł. Stettner, Adaptive control of discrete Markov processes by the method of large deviations, in: Proc. 35th IEEE CDC, Kobe 1996, IEEE, 360-365.
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  7. A. Nowak, A generalization of Ueno's inequality for n-step transition probabilities, Appl. Math. (Warsaw) 25 (1998), 295-299.
Pages:
143-152
Main language of publication
English
Received
1998-11-13
Accepted
1999-08-27
Published
2000
Exact and natural sciences