Open AccessGoodness-of-fit tests for the beta Gompertz distribution
Author(s) -
Hanaa Abu-Zinadah,
Asmaa Binkhamis
Publication year - 2020
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci20s1069a
Subject(s) - goodness of fit , anderson–darling test , statistics , kolmogorov–smirnov test , gompertz function , mathematics , monte carlo method , statistical hypothesis testing
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.