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Exponentiated Exponential - Exponentiatd Weibull Linear Mixed Distribution

Author(s)
Salman Abbas Department of Statistics, COMSATS University Islamabas, Lahore Campus, Pakistan
Muhammad Mohsin Department of Statistics, COMSATS University Islamabas, Lahore Campus, Pakistan
Saman Hanif Shahbaz Department of Statistics, King Abdulaziz University, Saudi Arabia
Muhammad Qaiser Shahbaz Department of Statistics, King Abdulaziz University, Saudi Arabia
Abstract
The present article deals with the linear mixing of exponentiated Exponential and exponentiated Weibull distributions. The proposed model is named as exponentiated Exponential-Exponentiated Weibull linear mixed distribution. Several existing distributions arise as special cases of the proposed model. Statistical properties such as shape of the density and the distribution function, moments, generating functions and reliability are studied. An empirical study is presented for mean, variance, coefficient of skewness, and coefficient of kurtosis. The method of maximum likelihood is used for estimation of the parameters. Applicability of the proposed model in the field of reliability and medical sciences accommodate its validity.
Publication Details
Page(s) 517-527
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 3, Year: 2020

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Keywords
Maximum Likelihood, empirical study, Exponentiated Weibull, Exponentiated Exponential, Inference
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