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Transmuted Weibull distribution: Properties and estimation
Authors:Muhammad Shuaib Khan  Robert King  Irene Lena Hudson
Institution:School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW, Australia
Abstract:In this article, we investigate the potential usefulness of the three-parameter transmuted Weibull distribution for modeling survival data. The main advantage of this distribution is that it has increasing, decreasing or constant instantaneous failure rate depending on the shape parameter and the new transmuting parameter. We obtain several mathematical properties of the transmuted Weibull distribution such as the expressions for the quantile function, moments, geometric mean, harmonic mean, Shannon, Rényi and q-entropies, mean deviations, Bonferroni and Lorenz curves, and the moments of order statistics. We propose a location-scale regression model based on the log-transmuted Weibull distribution for modeling lifetime data. Applications to two real datasets are given to illustrate the flexibility and potentiality of the transmuted Weibull family of lifetime distributions.
Keywords:Order statistics  moments  maximum likelihood estimation  Weibull exponential  weighted Weibull  
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