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Goodness-of-Fit in Shifted Exponential Distribution
Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
- 1 Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
- 2 Department of Mathematics and Statistics, Minnesota State University, Mankato, USA
Open Journal of Statistics·Volume 15 (2025)·Pages 243–250·Published 31 March 2025·DOI10.4236/ojs.2025.152012
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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.
KeywordsAnderson-Darling TestChi-Square TestCramer-Von-Mises TestKolmogorov-Smirnov TestLikelihood-Ratio Anderson-Darling TestLikelihood-Ratio Kolmogorov-Smirnov TestShapiro-Francia Testand Shapiro-Wilk Test
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