A New Generalized Transmuted Inverse Exponential Distribution: Properties and Application
Uchenna U. Uwadi *
Department of Mathematics, Computer Science, Statistics and Informatics, Federal University Ndufu Alike Ikwo, Nigeria
Elebe E. Nwaezza
Department of Mathematics, Computer Science, Statistics and Informatics, Federal University Ndufu Alike Ikwo, Nigeria
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Generalized transmuted-G, inverse exponential distribution, entropy, maximum likelihood