Random walks and other aspects of the Bailey-Daum distribution

A W  Kemp

doi:10.1016/S0378-3758(01)00163-X

Random walks and other aspects of the Bailey-Daum distribution

A W Kemp

Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	163-168
Number of pages	6
Journal	Journal of Statistical Planning and Inference
Volume	101
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-3758(01)00163-X
Publication status	Published - 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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10.1016/S0378-3758(01)00163-X

Cite this

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title = "Random walks and other aspects of the Bailey-Daum distribution",

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.",

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AB - 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.

KW - Bailey-Daum theorem

KW - Bailey-Daum distribution

KW - generalized Euler distribution

KW - random walk

KW - birth-death process

KW - infinitely divisible distribution

KW - infinitely divisible mixture

KW - logconvexity

KW - logconcavity

KW - IFR

KW - DFR

KW - strong unimodality

U2 - 10.1016/S0378-3758(01)00163-X

DO - 10.1016/S0378-3758(01)00163-X

M3 - Article

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VL - 101

SP - 163

EP - 168

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1-2

ER -

Random walks and other aspects of the Bailey-Daum distribution

Abstract

Keywords

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