A new bivariate modified weibull distribution and its extended distribution

A. H. El-Bassiouny; H. S. Shahen; Mohamed Abouhawwash

doi:10.18576/jsap/070201

A new bivariate modified weibull distribution and its extended distribution

A. H. El-Bassiouny
, H. S. Shahen
, Mohamed Abouhawwash^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

This paper introduced a new Bivariate Modified Weibull (BMW) distribution. It is a Marshall-Olkin type. Also, we introduce an extension of it and we call it bivariate Modified Weibull Geometric distribution. Marginal and conditional distribution functions are studied. Also, joint hazard rate function and maximum likelihood estimators (MLEs) for the parameters are presented. An application of BMW and BMWG distributions to an UEFA Champion′s League data set is provided and the profiles of the log-likelihood function of parameters of BMWD and BMWGD are plotted.

Original language	English
Pages (from-to)	217-231
Number of pages	15
Journal	Journal of Statistics Applications and Probability
Volume	7
Issue number	2
DOIs	https://doi.org/10.18576/jsap/070201
State	Published - Jul 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 NSP.

Keywords

Geometric distribution
Maximum likelihood function
Modified weibull distribution
Reliability
Survival functions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty
Library and Information Sciences

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10.18576/jsap/070201

Cite this

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abstract = "This paper introduced a new Bivariate Modified Weibull (BMW) distribution. It is a Marshall-Olkin type. Also, we introduce an extension of it and we call it bivariate Modified Weibull Geometric distribution. Marginal and conditional distribution functions are studied. Also, joint hazard rate function and maximum likelihood estimators (MLEs) for the parameters are presented. An application of BMW and BMWG distributions to an UEFA Champion′s League data set is provided and the profiles of the log-likelihood function of parameters of BMWD and BMWGD are plotted.",

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AU - El-Bassiouny, A. H.

AU - Shahen, H. S.

AU - Abouhawwash, Mohamed

PY - 2018/7

Y1 - 2018/7

N2 - This paper introduced a new Bivariate Modified Weibull (BMW) distribution. It is a Marshall-Olkin type. Also, we introduce an extension of it and we call it bivariate Modified Weibull Geometric distribution. Marginal and conditional distribution functions are studied. Also, joint hazard rate function and maximum likelihood estimators (MLEs) for the parameters are presented. An application of BMW and BMWG distributions to an UEFA Champion′s League data set is provided and the profiles of the log-likelihood function of parameters of BMWD and BMWGD are plotted.

AB - This paper introduced a new Bivariate Modified Weibull (BMW) distribution. It is a Marshall-Olkin type. Also, we introduce an extension of it and we call it bivariate Modified Weibull Geometric distribution. Marginal and conditional distribution functions are studied. Also, joint hazard rate function and maximum likelihood estimators (MLEs) for the parameters are presented. An application of BMW and BMWG distributions to an UEFA Champion′s League data set is provided and the profiles of the log-likelihood function of parameters of BMWD and BMWGD are plotted.

KW - Geometric distribution

KW - Maximum likelihood function

KW - Modified weibull distribution

KW - Reliability

KW - Survival functions

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JF - Journal of Statistics Applications and Probability

IS - 2

ER -

A new bivariate modified weibull distribution and its extended distribution

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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