The distribution of the Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling test statistics for exponential populations with estimated parameters

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Abstract

This paper presents a derivation of the distribution of the Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling test statistics in the case of exponential sampling when the parameters are unknown and estimated from sample data for small sample sizes via maximum likelihood.

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Evans, D. L., Drew, J. H., & Leemis, L. M. (2017). The distribution of the Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling test statistics for exponential populations with estimated parameters. International Series in Operations Research and Management Science, 247, 165–190. https://doi.org/10.1007/978-3-319-43317-2_13

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