Bivariate exponentiated modified Weibull distribution

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

doi:10.18576/jsap/080103

Bivariate exponentiated modified Weibull distribution

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

^*Corresponding author for this work

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

15 Scopus citations

Abstract

In this paper, a new bivariate exponentiated modified Weibull distribution (BEMW) is introduced. It is a Marshall-Olkin type. Marginal and conditional distribution functions are studied. Furthermore, marginal moments are calculated. Also, joint hazard rate function and maximum likelihood estimates (MLEs) of the parameters are presented. An application of the BEMW distribution to an American football league data set is provided and the profiles of the log-likelihood function of parameters of BEMW distribution is plotted.

Original language	English
Pages (from-to)	27-39
Number of pages	13
Journal	Journal of Statistics Applications and Probability
Volume	8
Issue number	1
DOIs	https://doi.org/10.18576/jsap/080103
State	Published - Mar 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 NSP.

Keywords

Exponentiated modified weibull distribution
Marshall-olkin
Reliability
Survival functions
Weibull distribution

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/080103

Cite this

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abstract = "In this paper, a new bivariate exponentiated modified Weibull distribution (BEMW) is introduced. It is a Marshall-Olkin type. Marginal and conditional distribution functions are studied. Furthermore, marginal moments are calculated. Also, joint hazard rate function and maximum likelihood estimates (MLEs) of the parameters are presented. An application of the BEMW distribution to an American football league data set is provided and the profiles of the log-likelihood function of parameters of BEMW distribution is plotted.",

keywords = "Exponentiated modified weibull distribution, Marshall-olkin, Reliability, Survival functions, Weibull distribution",

author = "Shahen, \{H. S.\} and El-Bassiouny, \{A. H.\} and Mohamed Abouhawwash",

note = "Publisher Copyright: {\textcopyright} 2019 NSP.",

year = "2019",

month = mar,

doi = "10.18576/jsap/080103",

language = "English",

volume = "8",

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AU - Shahen, H. S.

AU - El-Bassiouny, A. H.

AU - Abouhawwash, Mohamed

PY - 2019/3

Y1 - 2019/3

N2 - In this paper, a new bivariate exponentiated modified Weibull distribution (BEMW) is introduced. It is a Marshall-Olkin type. Marginal and conditional distribution functions are studied. Furthermore, marginal moments are calculated. Also, joint hazard rate function and maximum likelihood estimates (MLEs) of the parameters are presented. An application of the BEMW distribution to an American football league data set is provided and the profiles of the log-likelihood function of parameters of BEMW distribution is plotted.

AB - In this paper, a new bivariate exponentiated modified Weibull distribution (BEMW) is introduced. It is a Marshall-Olkin type. Marginal and conditional distribution functions are studied. Furthermore, marginal moments are calculated. Also, joint hazard rate function and maximum likelihood estimates (MLEs) of the parameters are presented. An application of the BEMW distribution to an American football league data set is provided and the profiles of the log-likelihood function of parameters of BEMW distribution is plotted.

KW - Exponentiated modified weibull distribution

KW - Marshall-olkin

KW - Reliability

KW - Survival functions

KW - Weibull distribution

UR - https://www.scopus.com/pages/publications/85065105212

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DO - 10.18576/jsap/080103

M3 - Article

AN - SCOPUS:85065105212

SN - 2090-8423

VL - 8

SP - 27

EP - 39

JO - Journal of Statistics Applications and Probability

JF - Journal of Statistics Applications and Probability

IS - 1

ER -

Bivariate exponentiated modified Weibull distribution

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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