Characterizations involving U vertical bar(U+V = m) for certain discrete distributions

A W  Kemp

doi:10.1016/S0378-3758(02)00296-3

Characterizations involving U vertical bar(U+V = m) for certain discrete distributions

A W Kemp

Statistics

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

7 Citations (Scopus)

Abstract

The paper gives a number of generalizations of the Moran characterization of the binomial distribution as the distribution of U\(U + V = m) where U and V have independent Poisson distributions. These involve q-series distributions including two new q-analogues of the binomial distribution. (C) 2002 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	31-41
Number of pages	11
Journal	Journal of Statistical Planning and Inference
Volume	109
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-3758(02)00296-3
Publication status	Published - 1 Jan 2003

Keywords

Heine distribution
Euler distribution
q-Poisson distribution
q-binomial distribution
q-negative binomial distribution
absorption distribution
basic hypergeometric series
q-series
generalized Rogers-Szego polynomials
generalized Stieltjes-Wigert polynomials
q-Laguerre polynomials
wall polynomials
Cauchy functional equation
HEINE

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10.1016/S0378-3758(02)00296-3

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title = "Characterizations involving U vertical bar(U+V = m) for certain discrete distributions",

abstract = "The paper gives a number of generalizations of the Moran characterization of the binomial distribution as the distribution of U\(U + V = m) where U and V have independent Poisson distributions. These involve q-series distributions including two new q-analogues of the binomial distribution. (C) 2002 Elsevier Science B.V. All rights reserved.",

keywords = "Heine distribution, Euler distribution, q-Poisson distribution, q-binomial distribution, q-negative binomial distribution, absorption distribution, basic hypergeometric series, q-series, generalized Rogers-Szego polynomials, generalized Stieltjes-Wigert polynomials, q-Laguerre polynomials, wall polynomials, Cauchy functional equation, HEINE",

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AU - Kemp, A W

PY - 2003/1/1

Y1 - 2003/1/1

N2 - The paper gives a number of generalizations of the Moran characterization of the binomial distribution as the distribution of U\(U + V = m) where U and V have independent Poisson distributions. These involve q-series distributions including two new q-analogues of the binomial distribution. (C) 2002 Elsevier Science B.V. All rights reserved.

AB - The paper gives a number of generalizations of the Moran characterization of the binomial distribution as the distribution of U\(U + V = m) where U and V have independent Poisson distributions. These involve q-series distributions including two new q-analogues of the binomial distribution. (C) 2002 Elsevier Science B.V. All rights reserved.

KW - Heine distribution

KW - Euler distribution

KW - q-Poisson distribution

KW - q-binomial distribution

KW - q-negative binomial distribution

KW - absorption distribution

KW - basic hypergeometric series

KW - q-series

KW - generalized Rogers-Szego polynomials

KW - generalized Stieltjes-Wigert polynomials

KW - q-Laguerre polynomials

KW - wall polynomials

KW - Cauchy functional equation

KW - HEINE

U2 - 10.1016/S0378-3758(02)00296-3

DO - 10.1016/S0378-3758(02)00296-3

M3 - Article

SN - 0378-3758

VL - 109

SP - 31

EP - 41

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1-2

ER -

Characterizations involving U vertical bar(U+V = m) for certain discrete distributions

Abstract

Keywords

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