ON THE GENERALIZED NEGATIVE BINOMIAL-DISTRIBUTION

被引：9

作者：

CONSUL, PC

FAMOYE, F

机构：

[1] UNIV CALGARY,DEPT MATH & STAT,CALGARY,AB T2N 1N4,CANADA

[2] CENT MICHIGAN UNIV,DEPT MATH,MT PLEASANT,MI 48859

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1995年 / 24卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

LAGRANGIAN EXPANSION; ZERO FREQUENCY; MAXIMUM LIKELIHOOD; BIAS; TRUNCATION ERROR;

D O I：

10.1080/03610929508831500

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 generalized negative binomial distribution (GNBD) was defined and studied by Jain and Consul (1971). The GNBD model has been found useful in many fields such as random walk, queuing theory, branching processes and polymerization reaction in chemistry. In this paper, four methods by which the GNBD model gets generated are discussed. The different methods of estimating the model parameters are provided. By using the bias property, we found that the truncated version of GNBD model provides a better parameter estimates than the GNBD model when fitted to data sets from the GNBD model.

引用

页码：459 / 472

页数：14

共 15 条

[1]

Consul P. C., 1989, STATISTICS, V20, P401

[2]

Consul P. C., 1975, STATISTICAL DISTRIBU, V3, P279

[3] THE GENERALIZED NEGATIVE BINOMIAL-DISTRIBUTION AND ITS CHARACTERIZATION BY ZERO REGRESSION [J].