q-analogues of the hyper-Poisson distribution

C D  Kemp

doi:10.1016/S0378-3758(01)00166-5

q-analogues of the hyper-Poisson distribution

C D Kemp

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Abstract

Two q-analogues of the hyper-Poisson distribution are derived via the Heine and Euler q-analogues of the Poisson distribution. The paper examines some of their properties and provides models based on mixtures of other q-distributions. Group-size models are also given. (C) 2002 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	179-183
Number of pages	5
Journal	Journal of Statistical Planning and Inference
Volume	101
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-3758(01)00166-5
Publication status	Published - 15 Feb 2002

Keywords

q-hyper-Poisson distributions
Heine distribution
Euler distribution
q-deformed distributions
group-size model
birth-death process

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10.1016/S0378-3758(01)00166-5

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abstract = "Two q-analogues of the hyper-Poisson distribution are derived via the Heine and Euler q-analogues of the Poisson distribution. The paper examines some of their properties and provides models based on mixtures of other q-distributions. Group-size models are also given. (C) 2002 Elsevier Science B.V. All rights reserved.",

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AB - Two q-analogues of the hyper-Poisson distribution are derived via the Heine and Euler q-analogues of the Poisson distribution. The paper examines some of their properties and provides models based on mixtures of other q-distributions. Group-size models are also given. (C) 2002 Elsevier Science B.V. All rights reserved.

KW - q-hyper-Poisson distributions

KW - Heine distribution

KW - Euler distribution

KW - q-deformed distributions

KW - group-size model

KW - birth-death process

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DO - 10.1016/S0378-3758(01)00166-5

M3 - Article

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VL - 101

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EP - 183

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1-2

ER -

q-analogues of the hyper-Poisson distribution

Abstract

Keywords

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