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On the concavity of the first NLPC transformation of unimodal symmetric random variables

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Abstract

We study the concavity of the first NLPC transformation for symmetric unimodal distributions on bounded domains. We deduce a comparison principle based on the variances of the first NLPC and show a possible application in constructing goodness-of-fit tests.

Original languageEnglish
Pages (from-to)112-118
Number of pages7
JournalApplied Mathematics E - Notes
Volume10
Publication statusPublished - 2010

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