THERMAL SCIENCE

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Hanaa Abu-Zinadah

,

Asmaa Binkhamis

GOODNESS-OF-FIT TESTS FOR THE BETA GOMPERTZ DISTRIBUTION

ABSTRACT
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.
KEYWORDS
Beta Gompertz distribution, Monte Carlo simulation, goodness-of-fit test, complete sampling
PAPER SUBMITTED: 2020-05-01
PAPER REVISED: 2020-05-28
PAPER ACCEPTED: 2020-06-01
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1069A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement 1, PAGES [S69 - S81]
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Goodness-of-fit tests for the beta Gompertz distribution

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