Geiger Counter-Type Polya-Eggenberger Distributions

被引：2
|
作者：
Sen, Kanwar [1 ]
Agarwal, Manju L. [2 ,3 ]
Bhattacharya, Sonali [4 ]
机构：
[1] Univ Delhi, Dept Stat, Delhi 110007, India
[2] Shiv Nadar Univ, IIIMIT, Greater Noida, UP, India
[3] Univ Delhi, Dept Operat Res, Delhi 110007, India
[4] Symbiosis Ctr Management & Human Resource Dev, Pune, Maharashtra, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 23期
关键词：
Geiger counter model; Modified binomial distribution; Polya-Eggenberger sampling scheme; ORDER-K; URN MODEL;
D O I：
10.1080/03610926.2012.742109
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：
Motivated by the paper of Dandekar (1955), a one-urn model with Polya-Eggenberger sampling scheme is developed, which yields a large number of discrete distributions, including the Dandekar's modified binomial distribution, as particular cases. The model is further modified to some new generalized distributions of order k. Some probable applications of these models were discussed in Dandekar (1955) and Feller (1968) in fields of fertility study and radioactivity. It also has applications in premium determination in insurance sector.
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页码：4912 / 4926
页数：15
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