Bayesian parameter estimation and adaptive control of Markov processes with time-averaged cost

V. Borkar; S. Associate

Applicationes Mathematicae (1998)

  • Volume: 25, Issue: 3, page 339-358
  • ISSN: 1233-7234

Abstract

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This paper considers Bayesian parameter estimation and an associated adaptive control scheme for controlled Markov chains and diffusions with time-averaged cost. Asymptotic behaviour of the posterior law of the parameter given the observed trajectory is analyzed. This analysis suggests a "cost-biased" estimation scheme and associated self-tuning adaptive control. This is shown to be asymptotically optimal in the almost sure sense.

How to cite

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Borkar, V., and Associate, S.. "Bayesian parameter estimation and adaptive control of Markov processes with time-averaged cost." Applicationes Mathematicae 25.3 (1998): 339-358. <http://eudml.org/doc/219208>.

@article{Borkar1998,
abstract = {This paper considers Bayesian parameter estimation and an associated adaptive control scheme for controlled Markov chains and diffusions with time-averaged cost. Asymptotic behaviour of the posterior law of the parameter given the observed trajectory is analyzed. This analysis suggests a "cost-biased" estimation scheme and associated self-tuning adaptive control. This is shown to be asymptotically optimal in the almost sure sense.},
author = {Borkar, V., Associate, S.},
journal = {Applicationes Mathematicae},
keywords = {time-averaged cost; adaptive control; asymptotic optimality; cost-biased estimate; Bayesian estimation},
language = {eng},
number = {3},
pages = {339-358},
title = {Bayesian parameter estimation and adaptive control of Markov processes with time-averaged cost},
url = {http://eudml.org/doc/219208},
volume = {25},
year = {1998},
}

TY - JOUR
AU - Borkar, V.
AU - Associate, S.
TI - Bayesian parameter estimation and adaptive control of Markov processes with time-averaged cost
JO - Applicationes Mathematicae
PY - 1998
VL - 25
IS - 3
SP - 339
EP - 358
AB - This paper considers Bayesian parameter estimation and an associated adaptive control scheme for controlled Markov chains and diffusions with time-averaged cost. Asymptotic behaviour of the posterior law of the parameter given the observed trajectory is analyzed. This analysis suggests a "cost-biased" estimation scheme and associated self-tuning adaptive control. This is shown to be asymptotically optimal in the almost sure sense.
LA - eng
KW - time-averaged cost; adaptive control; asymptotic optimality; cost-biased estimate; Bayesian estimation
UR - http://eudml.org/doc/219208
ER -

References

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