Open AccessType II Topp-Leone Gumbel Type-2 distribution: Properties and Applications
Author(s) -
Fatoki Olayode,
Phillips Samuel Ademola,
Adeleye Najeem Friday
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i430294
Subject(s) - gumbel distribution , mathematics , order statistic , type (biology) , maximum likelihood , goodness of fit , statistics , distribution (mathematics) , econometrics , extreme value theory , mathematical analysis , ecology , biology
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.