Open AccessA New Generalized Transmuted Inverse Exponential Distribution: Properties and Application
Author(s) -
Uchenna U. Uwadi,
Elebe E. Nwaezza
Publication year - 2018
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2018/v2i124568
Subject(s) - mathematics , exponential function , quantile function , natural exponential family , inverse , exponential distribution , rényi entropy , order statistic , gamma distribution , exponential family , inverse distribution , quantile , moment (physics) , moment generating function , principle of maximum entropy , statistics , probability distribution , heavy tailed distribution , mathematical analysis , geometry , physics , classical mechanics
In this study, we proposed a new generalised transmuted inverse exponential distribution with three parameters and have transmuted inverse exponential and inverse exponential distributions as sub models. The hazard function of the distribution is nonmonotonic, unimodal and inverted bathtub shaped making it suitable for modelling lifetime data. We derived the moment, moment generating function, quantile function, maximum likelihood estimates of the parameters, Renyi entropy and order statistics of the distribution. A real life data set is used to illustrate the usefulness of the proposed model.
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