q-analogues of the hyper-Poisson distribution

被引：8
|
作者：
Kemp, CD [1 ]
机构：
[1] Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, Scotland
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2002年 / 101卷 / 1-2期
关键词：
q-hyper-Poisson distributions; Heine distribution; Euler distribution; q-deformed distributions; group-size model; birth-death process;
D O I：
10.1016/S0378-3758(01)00166-5
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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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页码：179 / 183
页数：5
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