Transmuted Modified Weibull distribution: Properties and Application

Muhammad Shuaib Khan, Robert King, Irene L. Hudson

Abstract

This research investigates the potential usefulness of the transmuted modified Weibull distribution for modelling lifetime data. We attain the diagnostic shapes of the density and hazard functions. We formulate the expressions for the moments,incomplete moments, Renyi entropy and q- entropy. We estimate the mean, variance, coefficient of variation, coefficient of skewness and coefficient of kurtosis based on moment approach. The method of maximum likelihood is used for estimating the model parameters. We illustrate the use of transmuted modified Weibull distribution with an application to survival data.

Keywords

moments; incomplete moments; entropies; maximum likelihood estimation

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