Harris Extended Log-Kumaraswamy Distribution and its Applications

By : K. K. Jose, Jisha Virghese

Page No: 20-37

Abstract
Harris Extended Log-Kumaraswamy Distribution and its specialized form namely, the Marshall-Olkin Log-Kumaraswamy Distribution (MOLKw) is introduced and studied in this paper. We have given explicit form for the probability density function and the hazard rate function is derived and its shape properties are studied. Expressions for cumulative distribution function, quantiles and survival function are obtained. Method of maximum likelihood estimation is used for estimation of unknown parameters of the new distribution. The new model is applied on two real data sets on survival times of cancer patients and another data set on carbon fibre strength in the context of reliability studies. The stress strength analysis is carried out with respect to the new model and a simulation study is conducted to estimate the average bias, mean square error, coverage probability etc. for different parameter values.

Authors :
K. K. Jose
Department of Statistics, St.Thomas College, Palai, Arunapuram.

Jisha Varghese
Mahatma Gandhi University, Kottayam, Kerala, India.

DOI: DOI-https://doi.org/10.32381/IAPQRT.2019.44.01.2