Complete sufficient statistics for Markov chains

Abstract

This paper presents a complete suffcient statistic for the class of Markov chains with a finite state S for some natural subspaces PZ of the set of all transition probabilities P. This statistic is the random transition count F for Markov chains with a fixed length and a fixed initial state. A summary of the recent results gives a brief exposition of completeness of F with some extra restrictions on the sets Z and S.

Authors and Affiliations

Agnieszka Palma

Keywords

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  • EP ID EP236238
  • DOI 10.26485/0459-6854/2017/67.1/2
  • Views 56
  • Downloads 0

How To Cite

Agnieszka Palma (2017). Complete sufficient statistics for Markov chains. Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations, 0(1), 33-44. https://europub.co.uk/articles/-A-236238