Generalizations of the Inverse Weibull and Related Distributions with Applications


Abstract


In this paper, the generalized inverse Weibull distribution including the exponentiated or proportional reverse hazard and Kumaraswamy generalized inverse Weibull distributionsare presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coefficients of variation, skewness, andkurtosis, \beta-entropy, Fisher information matrix are studied. Estimates of the model parameters via method of maximum likelihood (ML), and method of moments (MOM) are presented for complete and censored data. Numerical examples are also presented.

DOI Code: 10.1285/i20705948v7n1p94

Keywords: Inverse Weibull Distribution; Proportional Inverse Weibull Distribution; Generalized Distribution.

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