The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications, By Hamid Karamikabir

Research

Title	The Topp-Leone odd log-logistic Gumbel Distribution: Properties and Applications
Type	Article
Keywords	—
Journal	Statistics, Optimization and Information Computing
DOI	—
Researchers	Fazlollah Lak (First researcher) , Morad Alizadeh (Second researcher) , Hamid Karamikabir (Third researcher)

Abstract

In this article, the Topp-Leone odd log-logistic Gumbel (TLOLL-Gumbel) family of distribution have been studied. This family, contains the very flexible skewed density function. We study many aspects of the new model like hazard rate function, asymptotics, useful expansions, moments, generating Function, R´enyi entropy and order statistics. We discuss maximum likelihood estimation of the model parameters. Further, we study flexibility of the proposed family are illustrated of two real data sets.