A New Weighted Half-Logistic Distribution:Properties, Applications and Different Method of Estimations, By Morad Alizadeh

Research

Title	A New Weighted Half-Logistic Distribution:Properties, Applications and Different Method of Estimations
Type	Article
Keywords	Entropy; Half-Logistic distribution ; Maximum likelihood estimation; Moments
Journal	Statistics, Optimization and Information Computing
DOI	10.19139/soic-2310-5070-1314
Researchers	Majid Hashempour (First researcher) , Morad Alizadeh (Second researcher)

Abstract

In this paper, we introduce a new two-parameter lifetime distribution based on arctan function which is called weighted Half-Logistic (WHL) distribution. Theoretical properties of this model including quantile function, extreme value, linear combination for pdf and cdf, moments, conditional moments, moment generating function and mean deviation are derived and studied in details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, two real data sets show that this model p[rovide better fit than other competitive known models.