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On the asymptotic power of a goodness-of-fit test based on a cumulative Kullback–Leibler discrepancy

A. Contreras-Cristán, E. Gutiérrez-Peña and S.G. Walker

Statistics & Probability Letters, 2017, vol. 120, issue C, 118-125

Abstract: We discuss a goodness-of-fit test arising from information-theoretical considerations. We show that, for a simple null hypothesis, our test has superior asymptotic power compared to the Anderson–Darling test when the alternative lies in a certain large class of distribution functions.

Keywords: EDF statistic; Information measure; Power of a test (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2016.09.023

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