TITLE:
Goodness-of-Fit in Shifted Exponential Distribution
AUTHORS:
Mezbahur Rahman, Rebecca K. Sulley
KEYWORDS:
Anderson-Darling Test, Chi-Square Test, Cramer-Von-Mises Test, Kolmogorov-Smirnov Test, Likelihood-Ratio Anderson-Darling Test, Likelihood-Ratio Kolmogorov-Smirnov Test, Shapiro-Francia Test, and Shapiro-Wilk Test
JOURNAL NAME:
Open Journal of Statistics,
Vol.15 No.2,
April
30,
2025
ABSTRACT: The Shifted Exponential Distribution is widely used in engineering and industrial applications. Goodness-of-fit procedures are revisited. Shapiro-Wilk test, Shapiro-Francia test, Likelihood-ratio Anderson-Darling test, and Likelihood-ratio Kolmogorov-Smirnov test are implemented in shifted exponential distribution. A comparative study with usual Anderson-Darling, Chi-square, Cramer-von-mises, and Kolmogorov-Smirnov tests in testing for shifted exponential distribution is performed using simulation. The Likelihood-ratio Anderson-Darling test is found to be of most powerful irrespective of variant alternatives considered.