A Generalization of B. S. Clarke and A. R. Barron's asymptotics of bayes codes for FSMX sources

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15 Citations (Scopus)

Abstract

SUMMARY We shall generalize B. S. Clarke and A. R. Barren's analysis of the Bayes method for the FSMX sources. The FSMX source considered here is specified by the set of all states and its parameter value. At first, we show the asymptotic codelengths of individual sequences of the Bayes codes for the FSMX sources. Secondly, we show the asymptotic expected codelengths. The Bayesian posterior density and the maximum likelihood estimator satisfy asymptotic normality for the finite ergodic Markov source, and this is the key of our analysis.

Original languageEnglish
Pages (from-to)2123-2132
Number of pages10
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE81-A
Issue number10
Publication statusPublished - 1998 Jan 1

Keywords

  • Bayes code
  • Source coding
  • Universal coding
  • Universal modeling

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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