A New Class of Generalized Inverse Weibull Distribution with Applications

Document Type

Article

Publication Date

2014

Publication Title

Journal of Applied Mathematics & Bioinformatics

Abstract

The gamma-inverse Weibull (GIW) distribution which includes inverse Weibull, inverse exponential, gamma-inverse exponential, gammainverse Rayleigh, inverse Rayleigh, gamma-Fr´echet and Fr´echet distributions as special cases is proposed and studied. This new distribution might be useful for failure time data analysis. Some mathematical properties of the new distribution including moments, mean deviations, Bonferroni and Lorenz curves, Shannon and R´enyi entropies are presented. Maximum likelihood estimation technique is used to estimate the parameters and applications to real data sets are given to illustrate the usefulness of this new class of distributions.

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