Open AccessThe Weibull-Exponential Distribution: Its Properties and Applications
Author(s) -
Pelumi E. Oguntunde,
Oluwafemi Samson Balogun,
Hilary I. Okagbue,
S.A. Bishop
Publication year - 2015
Publication title -
journal of applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1812-5662
pISSN - 1812-5654
DOI - 10.3923/jas.2015.1305.1311
Subject(s) - weibull distribution , natural exponential family , exponential function , mathematics , exponential distribution , exponential family , moment generating function , maximum likelihood , moment (physics) , flexibility (engineering) , generalized beta distribution , statistics , order statistic , gamma distribution , reliability (semiconductor) , distribution fitting , probability distribution , mathematical analysis , physics , power (physics) , quantum mechanics , classical mechanics
A three parameter probability model, the so called Weibull-exponential distribution was proposed using the Weibull Generalized family of distributions. Some important models in the literature were found to be sub models of the new model. Explicit expressions for some of its basic mathematical properties like moments, moment generating function, reliability analysis, limiting behavior and order statistics were derived. The method of maximum likelihood estimation was proposed in estimating its parameters and real life applications were provided to illustrate its flexibility and potentiality over the exponential distribution.
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