The q-cluster distribution

被引：1

作者：

Kemp, Adrienne W. ^{[1
]}

Kemp, C. David ^{[1
]}

机构：

[1] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Fife, Scotland

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2009年 / 139卷 / 06期

关键词：

Logarithmic distribution; Cluster distribution; Generalized Euler distribution; q-Analogue distribution; Diagnostic statistic; Flatness/hollowness; Tail behaviour;

D O I：

10.1016/j.jspi.2008.06.018

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 studies the three-parameter generalization of the logarithmic distribution that is obtained as the cluster distribution for the generalized Euler distribution. The diagnostic statistic, R(x)=xp(x)/[(x-1)p(x-1)], is constant for the logarithmic distribution. For the new distribution it can decrease, stay constant, or increase as x increases. The relative values of the extra parameters determine the flatness/hollowness of the distribution and its tail behaviour. Kemp's q-logarithmic distribution and the Euler cluster distribution are special cases. Fitted data sets illustrate the properties of the distribution and its limiting forms. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：1856 / 1866

页数：11

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