Transmuted Modified Weibull distribution: Properties and Application

Authors

  • Muhammad Shuaib Khan Faculty of Science & Information Technology, School of Mathematical and Physical Sciences, The University of Newcastle
  • Robert King School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
  • Irene L. Hudson Department of Statistics, Data Science and Epidemiology, Swinburne University of Technology, Hawthorn, VIC 3122, Australia

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i2.3208

Keywords:

moments, incomplete moments, entropies, maximum likelihood estimation

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.

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Published

2018-04-27

Issue

Vol. 11 No. 2: (April 2018)

Section

Mathematical Statistics

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How to Cite

Transmuted Modified Weibull distribution: Properties and Application. (2018). European Journal of Pure and Applied Mathematics, 11(2), 362-374. https://doi.org/10.29020/nybg.ejpam.v11i2.3208