Moderate Deviations Results for a Symmetry Testing Statistic Based on the Kernel Density Estimator for Directional Data

Lina Li

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 14, 3007-3018

Abstract: Under the suitable assumptions, we provide a moderate deviation result for the symmetry testing statistic defined supx∈Sd-1|fn(x)-fn(-x)|$\sup _{x\in {S^{d-1}}}|f_n(x)-f_n(-x)|$ where fn is the kernel density estimator for directional data and Sd − 1 is the d-dimensional unit sphere.

Date: 2014
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DOI: 10.1080/03610926.2012.694545

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