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Sur la transience de certaines chaines de Markov sur les permutations

Published online by Cambridge University Press:  01 July 2016

Jacques-Edouard Dies
Jacques-Edouard Dies*
Affiliation:
Université Paul Sabatier
*
∗Adresse postale: Laboratoire de Statistique et Probabilités, Université Paul Sabatier, 118 route de Narbonne, 31077 Toulouse Cedex, France.
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Abstract

Books being placed on a shelf, a book bi is selected with probability pi , it is removed and replaced at the left-hand end of the shelf prior to next removal. The different arrangements of books on the shelf are considered as states in a Markov chain, known as a Tsetlin library. In this paper, we establish the necessary and sufficient condition of transience for some extensions of this chain.

Keywords

DENUMERABLE MARKOV CHAINSLIBRARIESTRANSIENCE

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 3 , September 1982, pp. 526 - 542
Copyright
Copyright © Applied Probability Trust 1982 

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References

Bibliographie

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