Generalization of Log-Logistic Family with Quantile Regression Model, By Morad Alizadeh

Research

Title	Generalization of Log-Logistic Family with Quantile Regression Model
Type	Article
Keywords	logistic distribution; maximum likelihood estimation; residuals; regression; simulation
Journal	MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
DOI	—
Researchers	Fazlollah Lak (First researcher) , Emrah Altun (Second researcher) , Morad Alizadeh (Third researcher) , Javier E. Contreras-Reyes (Fourth researcher) ,

Abstract

Anew general class of distributions is proposed by applying the transformation to the random variable that follows the generalized odd-logistic family. Using the proposed family, we introduce a flexible Weibull distribution. The importance of the proposed distribution is demonstrated and compared with different generalizations of the Weibull distribution via three real data applications. A quantile regression model is obtained using the newly developed Weibull model and compared with the standard Weibull quantile regression model through a real data application.