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Spherically symmetric multivariate beta family kernels

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  • Duong, Tarn

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.

Suggested Citation

  • Duong, Tarn, 2015. "Spherically symmetric multivariate beta family kernels," Statistics & Probability Letters, Elsevier, vol. 104(C), pages 141-145.
    • Handle: RePEc:eee:stapro:v:104:y:2015:i:c:p:141-145
    DOI: 10.1016/j.spl.2015.05.012
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    References listed on IDEAS

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    1. Marron, J. S. & Nolan, D., 1988. "Canonical kernels for density estimation," Statistics & Probability Letters, Elsevier, vol. 7(3), pages 195-199, December.
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    Cited by:

    1. Langrené, Nicolas & Warin, Xavier, 2021. "Fast multivariate empirical cumulative distribution function with connection to kernel density estimation," Computational Statistics & Data Analysis, Elsevier, vol. 162(C).

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