Universal models for the exponential distribution

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Abstract

This paper considers the problem of constructing information theoretic universal models for data distributed according to the exponential distribution. The universal models examined include the sequential Normalized Maximum Likelihood (SNML) code, conditional normalized maximum likelihood (CNML) code, the minimum message length (MML) code, and the Bayes mixture code (BMC). The CNML code yields a codelength identical to the Bayesian mixture code, and within O(1) of the MML codelength, with suitable data driven priors.

Original languageEnglish
Pages (from-to)3087-3090
Number of pages4
JournalIEEE Transactions on Information Theory
Volume55
Issue number7
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Minimum description length (MDL)
  • Minimum message length (MML)
  • Universal models

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