文章基本信息

标题：The Nadarajah Haghighi Topp Leone-G Family of Distributions with Mathematical Properties and Applications
本地全文：下载
作者：Hesham Reyad ; Mahmoud Ali Selim ; Soha Othman 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2019
卷号：15
期号：4
页码：849-866
DOI：10.18187/pjsor.v15i4.2870
出版社：College of Statistical and Actuarial Sciences
摘要：Based on the Nadarajah Haghighi distribution and the Topp Leone-G family in view of the T-X family, we introduce a new generator of continuous distributions with three extra parameters called the Nadarajah Haghighi Topp Leone-G family. Three sub-models of the new class are discussed. Main mathematical properties of the new family are investigated such as; quantile function, raw and incomplete moments, Bonferroni and Lorenz curves, moment and probability generating functions, stress-strength model, Shanon and Rényi entropies, order statistics and probability weighted moments. The model parameters of the new family is estimated by using the method of maximum likelihood and the observed information matrix is also obtained. We introduce two real applications to show the importance of the new family.
关键词：Entropies; Nadarajah Haghighi distribution; Maximum Likelihood; Probability Weighted Moments; Stress Strength Model; T-X Family.