Count Distribution for Generalized Weibull Duration with Applications

被引：5

作者：

Ong, S. H. ^{[1
]}

Biswas, Atanu ^{[2
]}

Peiris, S. ^{[3
]}

Low, Y. C. ^{[1
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[2] Indian Stat Inst, Appl Stat Unit, Kolkata, India

[3] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2015年 / 44卷 / 19期

关键词：

Birth and renewal processes; Inter arrival times; Gamma distribution; Poisson distribution; Renewal function; Over and under dispersion; Laplace transform; Parameter estimation; Goodness-of-fit; Likelihood ratio test; RENEWAL FUNCTION; SERIES; MODELS;

D O I：

10.1080/03610926.2015.1062105

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：

An extension of the Poisson distribution is derived by considering a stochastic point process where the duration has a generalized Weibull distribution. This distribution is able to represent under, equi and over dispersion, a useful feature in data analysis. The computation of the probabilities and renewal function (expected number of renewals) are examined. Parameter estimation by the method of maximum likelihood is considered with applications of the count distribution to real frequency count data exhibiting under and over dispersion. It is shown that the generalized Weibull count distribution fits much better than the Weibull and gamma duration models.

引用

页码：4203 / 4216

页数：14

共 50 条

[31] Transmuted Generalized Power Weibull Distribution
Khan, Muhammad Shuaib
THAILAND STATISTICIAN, 2018, 16 (02): : 156 - 172
[32] A Generalization of the Weibull Distribution with Applications
Almheidat, Maalee
Lee, Carl
Famoye, Felix
JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2016, 15 (02) : 788 - 820
[33] Exponentiated Weibull Weibull Distribution: Statistical Properties and Applications
Hassan, Amal
Elgarhy, Mohammed
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2019, 32 (02): : 616 - 635
[34] The New Generalized Exponentiated Frechet-Weibull Distribution: Properties, Applications, and Regression Model
Klakattawi, Hadeel S.
Khormi, Aisha A.
Baharith, Lamya A.
COMPLEXITY, 2023, 2023
[35] The Exponentiated Power Generalized Weibull: Properties and Applications
Pena-Ramirez, Fernando A.
Guerra, Renata R.
Cordeiro, Gauss M.
Marinho, Pedro R. D.
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2018, 90 (03): : 2553 - 2577
[36] The Half-Logistic Generalized Weibull Distribution
Anwar, Masood
Bibi, Amna
JOURNAL OF PROBABILITY AND STATISTICS, 2018, 2018
[37] Weighted Version of Generalized Inverse Weibull Distribution
Mudasir, Sofi
Ahmad, S. P.
JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2018, 17 (02)
[38] Bayesian Analysis of Power Generalized Weibull Distribution
Pandey R.
Kumari N.
International Journal of Applied and Computational Mathematics, 2018, 4 (6)
[39] OPTIMUM ESTIMATION OF THE PARAMETER OF THE GENERALIZED WEIBULL DISTRIBUTION
TARTAKOWSKY, AG
RADIOTEKHNIKA I ELEKTRONIKA, 1988, 33 (05): : 986 - 991
[40] Optimum estimation of the parameter of the generalized Weibull distribution
Tartakovskiy, A.G.
Soviet journal of communications technology & electronics, 1988, 33 (10): : 84 - 89

← 1 2 3 4 5 →