Existence conditions and properties for the generalized Euler family of distributions

被引：4

作者：

Kemp, AW ^{[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：

Euler distribution; Heine distribution; inverse absorption distribution; q-binomial distribution; logconvexity; logconcavity; IFR; DFR; infinite divisibility; strong unimodality; overdispersion; underdispersion;

D O I：

10.1016/S0378-3758(01)00164-1

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：

The paper gives existence conditions for the generalized Euler family of distributions and relates these to distributions already in the literature. The logconvexity, logconcavity, failure rate, infinite divisibility, strong unimodality, and over and under-dispersion properties are examined using the methods of Gupta et al. (J. Statist Plann. Inference 65 (1997) 225). (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：169 / 178

页数：10

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