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.
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Rahman et al. (2025) studied this question.
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