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.

引用

页码：179 / 183

页数：5

共 50 条

[11] A THREE PARAMETER HYPER-POISSON DISTRIBUTION AND SOME OF ITS PROPERTIES
Kumar, C. Satheesh
Nair, B. Unnikrishnan
STATISTICA, 2014, 74 (02) : 183 - 198
[12] A generalization to zero-inflated hyper-Poisson distribution: Properties and applications
Kumar, C. Satheesh
Ramachandran, Rakhi
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (20) : 7289 - 7302
[13] Bivariate alpha-generalized hyper-Poisson distribution: Properties and applications
Satheesh Kumar C.
Unnikrishnan Nair B.
Journal of Statistical Theory and Practice, 2016, 10 (2) : 405 - 419
[14] COMPUTER PROOF OF THE HYPER-POISSON NONINFINITE DIVISIBILITY
DANIEL, EJ
KATTI, SK
AMERICAN STATISTICAL ASSOCIATION 1988 PROCEEDINGS OF THE STATISTICAL COMPUTING SECTION, 1988, : 280 - 283
[15] Juggling and applications to q-analogues
Ehrenborg, R
Readdy, M
DISCRETE MATHEMATICS, 1996, 157 (1-3) : 107 - 125
[16] q-ANALOGUES OF SEVERAL π-FORMULAS
Wei, Chuanan
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (06) : 2287 - 2296
[17] Q-ANALOGUES OF CAUCHYS FORMULAS
ALSALAM, WA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (03) : 616 - &
[18] q-ANALOGUES OF EHRHART POLYNOMIALS
Chapoton, F.
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2016, 59 (02) : 339 - 358
[19] On q-analogues and stability theorems
Blokhuis A.
Brouwer A.
Szonyi T.
Weiner Z.
Journal of Geometry, 2011, 101 (1-2) : 31 - 50
[20] Landau constants and their q-analogues
Ismail, Mourad E. H.
Li, Xin
Rahman, M.
ANALYSIS AND APPLICATIONS, 2015, 13 (02) : 217 - 231

← 1 2 3 4 5 →