The Entropy of Consecutive Order Statistics

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Abstract

Calculations of the entropy of a set of consecutive order statistics is relatively more complicated than that of the entropy of the individual order statistic, which has been studied by Wong and Chan [1]. We provide some fundamental relations occuring in the entropy of consecutive-order statistics, which are very useful for computations. We first consider the decomposition of the entropy of order statistics, and derive some recurrence relations in the first r order statistics. We also establish a dual principle for the entropy of order statistics, which yields a dual relation from a given relation in the entropy of order statistics.

Original languageEnglish
Pages (from-to)2003-2007
Number of pages5
JournalIEEE Transactions on Information Theory
Volume41
Issue number6
DOIs
Publication statusPublished - 1995 Nov

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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