Spherically symmetric multivariate beta family kernels

Tarn Duong

Statistics & Probability Letters, 2015, vol. 104, issue C, 141-145

Abstract: The generalisation of univariate beta kernels to the multivariate spherically symmetric case is considered. By integrating the powers of quadratic forms over the unit ball, we exhibit closed form expressions, based on ratios of beta functions, for analysing these kernels.

Keywords: Bounded support; Integral on unit ball; Optimal kernel; Polynomial family; Quadratic form (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.05.012

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