The Distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling Test Statistics for Exponential Populations with Estimated Parameters

Diane L. Evans, John H. Drew and Lawrence M. Leemis ()
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Diane L. Evans: Rose Hulman
John H. Drew: William and Mary
Lawrence M. Leemis: The College of William and Mary

Chapter 13 in Computational Probability Applications, 2017, pp 165-190 from Springer

Abstract: 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.

Keywords: Distribution functions; Goodness-of-fit tests; Maximum likelihood estimation; Order statistics; Transformation technique (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-319-43317-2_13

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DOI: 10.1007/978-3-319-43317-2_13

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