THE EXTENDED EXPONENTIATED WEIBULL DISTRIBUTION AND ITS APPLICATIONS

Eisa Mahmoudi (), Rahmat Sadat Meshkat, Batool Kargar and Debasis Kundu
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Eisa Mahmoudi: Department of Statistics, Yazd University
Rahmat Sadat Meshkat: Department of Statistics, Yazd University
Batool Kargar: Department of Statistics, Yazd University
Debasis Kundu: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur

Statistica, 2018, vol. 78, issue 4, 365-396

Abstract: In this paper, we introduce a univariate four-parameter distribution. Several known distributions like exponentiated Weibull or extended generalized exponential distribution can be obtained as special case of this distribution. The new distribution is quite flexible and can be used quite effectively in analysing survival or reliability data. It can have a decreasing, increasing, decreasingincreasing- decreasing (DID), upside-down bathtub (unimodal) and bathtub-shaped failure rate function depending on its parameters. We provide a comprehensive account of the mathematical properties of the new distribution. In particular, we derive expressions for the moments, mean deviations, Rényi and Shannon entropy. We discuss maximum likelihood estimation of the unknown parameters of the new model for censored and complete sample using the profile and modified likelihood functions. One empirical application of the new model to real data are presented for illustrative purposes.

Keywords: Probability weighted moments; Rényi and Shannon entropy; Extended generalized exponential distribution; Regular family of distributions (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:78:y:2018:i:4:p:365-396

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