The exponentiated half-logistic odd lindley-G family of distributions with applications

The Journal of Nonlinear Sciences and its Applications

article

Whatmore Sengweni¹  Brodrick Oluyede¹  Boikanyo Makubate¹ 

[1] Department of Mathematical Statistics, Botswana International University of Science

关键词: Generalized-G distribution;    exponentiated distribution;    half logistic distribution;    odd-lindley distribution;    maximum likelihood estimation;   

DOI  :  10.22436/jnsa.014.05.01

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

A new generalized family of models called the Exponentiated Half Logistic Odd Lindley-G (EHLOL-G) distribution is developed and presented. Some explicit expressions for the structural properties including moments, conditional moments, mean and median deviations, distribution of the order statistics, probability weighted moments and R\'enyi entropy are derived. We applied the maximum likelihood estimation technique to estimate the parameters of the model and a simulation study is conducted to examine the efficiency of the maximum likelihood estimators. The special case of the EHLOL-Weibull (EHLOL-W) distribution is fitted to two real data sets.

【 授权许可】

Unknown