The Generalized Odd Lindley-G Family: Properties and Applications, By Morad Alizadeh

Research

Title	The Generalized Odd Lindley-G Family: Properties and Applications
Type	Article
Keywords	generating function, lindley distribution, maximum likelihood, order statistic, T-X family
Journal	ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS
DOI	10.1590/0001-3765201920180040
Researchers	Ahmed Afify (First researcher) , Gauss Cordeiro (Second researcher) , MOHAMED E MAED (Third researcher) , Morad Alizadeh (Fourth researcher) , Hazem Al-Mofleh (Fifth researcher) ,

Abstract

We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models of the new family are provided. Some explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.