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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