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Research Article Open access CC BY 4.0

Type II Topp-Leone Gumbel Type-2 distribution: Properties and Applications

Fatoki Olayode, Phillips Samuel Ademola, Adeleye Najeem Friday

Asian Research Journal of Mathematics · pp. 50–60 · Published 21 Jun 2021

10.9734/arjom/2021/v17i430294

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.

Type II Topp-Leone Gumbel type-2 distribution incomplete moment order statistics goodness of fit

References (10)

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Cited by 1

Three-Parameters Gumbel Distribution: Properties and Application

Otieno Kevin Okumu, Omondi Joseph Ouno, Anthony Nyutu Karanjah · Asian Journal of Probability and Statistics · 2024

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