A new bivariate generalized Poisson distribution

被引：27

作者：

Famoye, Felix ^{[1
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

来源：

STATISTICA NEERLANDICA | 2010年 / 64卷 / 01期

关键词：

correlated count data; over- and under-dispersion; score test; estimation;

D O I：

10.1111/j.1467-9574.2009.00446.x

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：

In this paper, a new bivariate generalized Poisson distribution (GPD) that allows any type of correlation is defined and studied. The marginal distributions of the bivariate model are the univariate GPDs. The parameters of the bivariate distribution are estimated by using the moment and maximum likelihood methods. Some test statistics are discussed and one numerical data set is used to illustrate the applications of the bivariate model.

引用

页码：112 / 124

页数：13

共 15 条

[1]

AITCHISON J, 1989, BIOMETRIKA, V76, P643

[2]

[Anonymous], 2013, Regression Analysis of Count Data

[3]

[Anonymous], 2011, Probabilistic Metric Spaces

[4]

[Anonymous], 2008, Econometric analysis of count data, DOI DOI 10.1007/978-3-540-24728-9_5

[5]

Consul P.C., 1989, Generalized Poisson Distributions: Properties and Applications

[6]

Cox D.R., 1974, THEORETICAL STAT

[7]

Famoye F., 1995, Metrika, V42, P127, DOI DOI 10.1007/BF01894293

[8]

FAMOYE F, 2009, J APPL STAT IN PRESS

[9] THE JOY OF COPULAS - BIVARIATE DISTRIBUTIONS WITH UNIFORM MARGINALS [J].

GENEST, C ;

MACKAY, J .

AMERICAN STATISTICIAN, 1986, 40 (04) :280-283

[10]

GENEST C, 1987, BIOMETRIKA, V74, P549, DOI 10.1093/biomet/74.3.549

← 1 2 →