Transmuted Gompertz Distribution: Properties and Estimation.

Muhammad Shuaib Khan; Robert King; Irene Lena Hudson

Author(s)

Muhammad Shuaib Khan School of Mathematical and Physical Sciences, The University of Newcastle Callaghan, NSW 2308, Australia

Robert King School of Mathematical and Physical Sciences, The University of Newcastle Callaghan, NSW 2308, Australia

Irene Lena Hudson School of Mathematical and Physical Sciences, The University of Newcastle Callaghan, NSW 2308, Australia

Abstract

This article investigates the potential usefulness of the transmuted Gompertz distribution for modeling lifetime data. This distribution can be obtained by using the quadratic rank transmutation map scheme. Various structural properties of the transmuted Gompertz model are investigated including estimation of the parameters using maximum likelihood and evaluate the performance of MLE using simulation. The potential usefulness of the transmuted Gompertz model is shown by means of windshields data.

Publication Details

Page(s) 161-182

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 32, Issue: 3, Year: 2016

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