A Study on Zografos-Balakrishnan Log-Normal Distribution: Properties and Application to Cancer Dataset

被引：0
|
作者：
Shibu, D. S. [1 ]
Nitin, S. L. [1 ]
Irshad, M. R. [2 ]
机构：
[1] Univ Coll, Dept Stat, Thiruvananthapuram 695034, India
[2] CUSAT, Dept Stat, Cochin 682022, India
来源：
REVSTAT-STATISTICAL JOURNAL | 2024年 / 22卷 / 01期
关键词：
Zografos-Balakrishnan-G family; reliability measures; maximum likelihood estimation; Bayesian; estimation; bootstrap confidence interval; likelihood ratio test; HAZARD; FAMILY;
D O I：
10.57805/revstat.v22i1.436
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we studied a generalization of the log-normal distribution called Zografos-Balakrishnan log-normal distribution, and investigate its various important properties and functions including moments, quantile function, various reliability measures, Re<acute accent>nyi entropy, and some inequality measures. The estimation of unknown parameters is discussed by the methods of maximum likelihood, and the Bayesian technique and their simulation studies are also carried out. The applicability of the distribution is illustrated utilizing a real dataset. A likelihood ratio test is utilized for testing the efficiency of the third parameter. The effectiveness of this model for the dataset is also established using the parametric bootstrap approach.
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页码：1 / 24
页数：24
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