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

Statistics, Optimization and Information Computing

article

MajidHashempour¹  Morad Alizadeh² 

[1] Department of Statistics, School of Sciences, University of Hormozgan;Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University

关键词: Entropy;    Half-Logistic distribution;    Maximum likelihood estimation;    Moments;   

DOI  :  10.19139/soic-2310-5070-1314

来源: Istituto Superiore di Sanita

【 摘 要 】

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.

【 授权许可】

Unknown