Large deviations probabilities for a symmetry test statistic based on delta-sequence density estimation

Noureddine Berrahou

Statistics & Probability Letters, 2008, vol. 78, issue 3, 238-248

Abstract: The goal of this paper is to provide large deviations limit theorems for statistics, based on the delta-sequence density estimation and designed to symmetry testing of distribution. A general result is stated for any regular delta-sequence and a discussion of hypotheses for the most usual methods is given. The estimation is based upon sequences of independent and identically distributed random variables.

Keywords: Symmetry; testing; Large; deviations; Rate; functions; Delta-sequence; Bahadur; exact; slope (search for similar items in EconPapers)
Date: 2008
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