The Transmuted Generalized Odd Generalized Exponential-G Family of Distributions: Theory and Applications

Journal of Data Science

article

Hesham Reyad¹  Soha Othman²  Muhammad Ahsan ul Haq³ 

[1] Department of Management Information Systems and Production Management, Qassim University;Department of Applied Statistics, Cairo University;College of Statistical & Actuarial Sciences, University of the Punjab;Quality Enhancement Cell, National College of Arts

关键词: Odd Generalized Exponential-G family;    Maximum Likelihood;    Order Statistic;    Stress Strength Model;    Transmuted-G family;   

DOI  :  10.6339/JDS.201904_17(2).0003

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

We propose a new generator of continuous distributions, so called the transmuted generalized odd generalized exponential-G family, which extends the generalized odd generalized exponential-G family introduced by Alizadeh et al. (2017). Some statistical properties of the new family such as; raw and incomplete moments, moment generating function, Lorenz and Bonferroni curves, probability weighted moments, Rényi entropy, stress strength model and order statistics are investigated. The parameters of the new family are estimated by using the method of maximum likelihood. Two real applications are presented to demonstrate the effectiveness of the suggested family.

【 授权许可】

CC BY