The Burr III-Topp-Leone-G family of distributions with applications

被引：10
|
作者：
Chipepa, Fastel [1 ]
Oluyede, Broderick [1 ]
Peter, O. Peter [1 ]
机构：
[1] Botswana Int Univ Sci & Technol, P Bag 16, Palapye, Botswana
来源：
HELIYON | 2021年 / 7卷 / 04期
关键词：
Burr III-G distribution; Topp-Leone-G distribution; Maximum likelihood estimation; Simulation; Likelihood ratio test; LOGISTIC FAMILY;
D O I：
10.1016/j.heliyon.2021.e06534
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, we present a new family of generalized distributions called the Burr III-Topp-Leone-G (BIII-TL-G). We further study in detail its structural properties including moments, probability weighted moments, distribution of order statistics, and entropy. The maximum likelihood estimation method is used to estimate the model parameters. Simulations are carried out to show the consistency and efficiency of parameter estimates and finally, real data sets are used to demonstrate the applicability of the proposed model.
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收藏
页数：16
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