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From the 1 of 5 linked papers with an AI index.

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5 papers

stat.ME2026

On the spherical cardioid distribution and its goodness-of-fit

Eduardo García-Portugués

The paper investigates the spherical cardioid distribution, a flexible directional model on the sphere, and develops its theoretical properties, estimation methods, and bootstrap g…

math.ST2026

On Stein's test of uniformity on the hypersphere

Paul Axmann, Bruno Ebner, Eduardo García-Portugués

We propose a new test of uniformity on the hypersphere based on a Stein characterization associated with the Laplace-Beltrami operator. We identify a sufficient class of test funct…

stat.ME2026

Out-of-bag prediction balls for random forests in metric spaces

Diego Serrano, Eduardo García-Portugués

Statistical methods for metric spaces provide a general and versatile framework for analyzing complex data types. We introduce a novel approach for constructing confidence regions…

math.ST2026

Blessing of dimensionality in cross-validated bandwidth selection on the sphere

José E. Chacón, Eduardo García-Portugués, Andrea Meilán-Vila

We study the asymptotic behavior of least-squares cross-validation bandwidth selection in kernel density estimation on the -dimensional hypersphere, . We show that the…

stat.ME2025

Density estimation for compositional data using nonparametric mixtures

Jiajin Xie, Yong Wang, Eduardo García-Portugués

Compositional data, representing proportions constrained to the simplex, arise in diverse fields such as geosciences, ecology, genomics, and microbiome research. Existing nonparame…