TITLE:
A Note on Beta Distribution Goodness of Fit
AUTHORS:
Mezbahur Rahman, Md Iftekhar Amin, Mahmudul Hasan
KEYWORDS:
Anderson-Darling Test, Beta-Normal Composite Distribution, Kolmogorov-Smirnov Test, Shapiro-Francia Test, Truncated Normal Distribution
JOURNAL NAME:
Open Journal of Statistics,
Vol.15 No.1,
February
18,
2025
ABSTRACT: The Beta Distribution is widely used in engineering and industrial applications. Goodness-of-fit procedures are revisited. Shapiro-Francia statistic is implemented in Beta distribution. A comparative study between the Anderson-Darling, Kolmogorov-Smirnov, Shapiro-Francia, and Chi-square goodness-of-fit test in testing for Beta distribution is performed using simulation.