Kernel density estimation with polyspherical data and its applications
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DOI: 10.1080/01621459.2025.2521898
Abstract: A kernel density estimator for data on the polysphere $\mathbb{S}^{d_1}\times\cdots\times\mathbb{S}^{d_r}$, with $r,d_1,\ldots,d_r\geq 1$, is presented in this paper. We derive the main asymptotic properties of the estimator, including mean square error, normality, and optimal bandwidths.… read more here.
Keywords: estimation polyspherical; density estimator; kernel density; density estimation ... See more keywords