Random walks and other aspects of the Bailey-Daum distribution

A W Kemp

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

The paper gives a probabilistic proof of the Bailey-Daum theorem. It also provides random walks for certain special cases of the Bailey-Daum distribution and discusses the distribution's moment properties, logconvexity, logconcavity, and infinite divisibility. (C) 2002 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)163-168
Number of pages6
JournalJournal of Statistical Planning and Inference
Volume101
Issue number1-2
DOIs
Publication statusPublished - 15 Feb 2002

Keywords

  • Bailey-Daum theorem
  • Bailey-Daum distribution
  • generalized Euler distribution
  • random walk
  • birth-death process
  • infinitely divisible distribution
  • infinitely divisible mixture
  • logconvexity
  • logconcavity
  • IFR
  • DFR
  • strong unimodality

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