On Some Properties and Estimation of Size-Biased Polya-Eggenberger Distribution

被引：0
|
作者：
Hassan, Anwar [1 ]
Bilal, Sheikh [2 ]
Shah, Imtiyaz Ahmad [3 ]
机构：
[1] King Saud Univ, Dept Stat & Operat Res, Riyadh, Saudi Arabia
[2] AS Coll, Dept Stat, Srinagar, Kashmir, India
[3] Indian Inst Technol Delhi, Dept Stat & Operat Res, New Delhi, India
来源：
JOURNAL OF MODERN APPLIED STATISTICAL METHODS | 2012年 / 11卷 / 02期
关键词：
Polya-Eggenberger distribution; size-biased Polya-Eggenberger distribution; recurrence relation between moments; estimation techniques;
D O I：
10.22237/jmasm/1351742940
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：
A size-biased version of Polya-Eggenberger distribution is introduced explicitly and by a mixture model. The proposed distribution is unimodal with positive integer moments. The recurrence relation between moments (about the origin) of the proposed distribution is established and its relationship with other distributions is discussed. Different estimation techniques are proposed to estimate the parameters of the distribution.
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页码：378 / 384
页数：7
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