Type II Topp-Leone Gumbel Type-2 distribution: Properties and Applications
Fatoki Olayode *
Department of Statistics, Ogun State Institute of Technology, Igbesa, Ogun State, Nigeria.
Phillips Samuel Ademola
Department of Statistics, Federal School of Statistics, Ojo, Ibadan, Oyo State, Nigeria.
Adeleye Najeem Friday
Department of Statistics, Ogun State Institute of Technology, Igbesa, Ogun State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, a three parameter life time model named Type II Topp-Leone Gumbel type-2 distribution which can be used to model reliability problems, fatigue life studies, and survival data has been studied. We derived explicit expressions for some of its statistical properties such as ordinary moments, generating function, incomplete moments, and order statistics. The maximum likelihood estimation technique is used to estimate the parameters of the model. The tractability of the model was illustrated by using two real life data sets. The proposed distribution provides a better fit than some well known distributions using criteria of criteria of goodness of fit.
Keywords: Type II Topp-Leone Gumbel type-2 distribution, incomplete moment, order statistics, goodness of fit