A two-parameter general inflated Poisson distribution: Properties and applications

被引：6

作者：

Rakitzis, Athanasios C. ^{[1
,2
]}

Castagliola, Philippe ^{[1
,2
]}

Maravelakis, Petros E. ^{[3
]}

机构：

[1] Univ Nantes, LUNAM Univ, Nantes, France

[2] CNRS, IRCCyN, UMR 6597, Nantes, France

[3] Univ Piraeus, Dept Business Adm, Piraeus 18534, Greece

来源：

STATISTICAL METHODOLOGY | 2016年 / 29卷

关键词：

Count data; EM algorithm; Maximum likelihood estimation; Overdispersion; Poisson distribution; Underdispersion; COUNT DATA; MODEL;

D O I：

10.1016/j.stamet.2015.10.002

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 work, we propose and study a two-parameter modification of the ordinary Poisson distribution that is suitable for the modeling of non-typical count data. This model can be viewed as an extension of the zero-inflated Poisson distribution. We derive the proposed model as a special case of a general one and focus our study on it. The theoretical properties for each model are given, while estimation methods for the two-parameter model are discussed as well. Three practical examples illustrate its usefulness. The results show that the proposed model is very flexible in the modeling of various types of count data. (c) 2015 Elsevier B.V. All rights reserved.

引用

页码：32 / 50

页数：19

共 37 条

[1] Yield prediction via spatial modeling of clustered defect counts across a wafer map [J].

Bae, Suk Joo ;

Hwang, Jung Yoon ;

Kuo, Way .

IIE TRANSACTIONS, 2007, 39 (12) :1073-1083

[2]

Begum M., 2014, Thail. Stat, V12, P135

[3] The zero-inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology [J].

Böhning, D ;

Dietz, E ;

Schlattmann, P ;

Mendonça, L ;

Kirchner, U .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1999, 162 :195-209

[4]

Bohning D, 1998, BIOMETRICAL J, V40, P833, DOI 10.1002/(SICI)1521-4036(199811)40:7<833::AID-BIMJ833>3.0.CO

[5]

2-O

[6] A Zero-Inflated Regression Model for Grouped Data [J].

Brown, Sarah ;

Duncan, Alan ;

Harris, Mark N. ;

Roberts, Jennifer ;

Taylor, Karl .

OXFORD BULLETIN OF ECONOMICS AND STATISTICS, 2015, 77 (06) :822-831

[7]

Casella G., 2002, STAT INFERENCE, V2

[8] THE CHI-2 TEST OF GOODNESS OF FIT [J].

COCHRAN, WG .

ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (03) :315-345

[9]

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

[10]

Davison AC., 2003, Statistical models, V11

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