GOODNESS-OF-FIT TESTS FOR THE BETA GOMPERTZ DISTRIBUTION

被引:2
作者
Abu-Zinadah, Hanaa [1 ]
Binkhamis, Asmaa [1 ]
机构
[1] Univ Jeddah, Dept Stat, Coll Sci, Jeddah, Saudi Arabia
来源
THERMAL SCIENCE | 2020年 / 24卷
关键词
Beta Gompertz distribution; Monte Carlo simulation; goodness-of-fit test; complete sampling;
D O I
10.2298/TSCI20S1069A
中图分类号
O414.1 [热力学];
学科分类号
摘要
This article studied the goodness-of-fit tests for the beta Gompertz distribution with four parameters based on a complete sample. The parameters were estimated by the maximum likelihood method. Critical values were found by Monte Carlo simulation for the modified Kolmogorov-Smirnov, Anderson-Darling, Cramer-von Mises, and Lilliefors test statistics. The power of these test statistics founded the optimal alternative distribution. Real data applications were used as examples for the goodness of fit tests.
引用
收藏
页码:S69 / S81
页数:13
相关论文
共 23 条
[1]  
Abdi H., 2007, Encycl Measur Stat, V2, P540
[2]  
Abu-Zinadah H.H., 2016, APPL MATH INFORM SCI, V10, P705
[3]  
Abu-Zinadah H. H., 2019, J COMPUTATIONAL THEO, V16, P3128
[4]  
Abu-Zinadah H.H., 2015, INT J INNOVATION SCI, V3, P156
[5]  
Abu-Zinadah H. H., 2014, INT J INNOVATION SCI, V2, P327
[6]  
Abu-Zinadah H. H., 2019, J ADV RES DYNAMICAL, V11, P446
[7]  
[Anonymous], 2015, BIOMETRICS BIOSTATIS
[8]  
[Anonymous], 2014, INT MATH FORUM, DOI DOI 10.12988/imf.2014.48146
[9]   Goodness-of-fit tests for the Compound Rayleigh distribution with application to real data [J].
Badr, Majdah M. .
HELIYON, 2019, 5 (08)
[10]  
Bakoban RA, 2017, REVSTAT-STAT J, V15, P65