Confidence regions for the multidimensional density in the uniform norm based on the recursive Wolverton-Wagner estimation

Fuente: arXiv
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Main Authors: Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid
Format: Preprint
Published: 2024
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author Formica, Maria Rosaria
Ostrovsky, Eugeny
Sirota, Leonid
author_facet Formica, Maria Rosaria
Ostrovsky, Eugeny
Sirota, Leonid
contents We construct an optimal exponential tail decreasing confidence region for an unknown density of distribution in the Lebesgue-Riesz as well as in the uniform} norm, built on the sample of the random vectors based of the famous recursive Wolverton-Wagner density estimation.
format Preprint
id arxiv_https___arxiv_org_abs_2409_01451
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Confidence regions for the multidimensional density in the uniform norm based on the recursive Wolverton-Wagner estimation
Formica, Maria Rosaria
Ostrovsky, Eugeny
Sirota, Leonid
Statistics Theory
We construct an optimal exponential tail decreasing confidence region for an unknown density of distribution in the Lebesgue-Riesz as well as in the uniform} norm, built on the sample of the random vectors based of the famous recursive Wolverton-Wagner density estimation.
title Confidence regions for the multidimensional density in the uniform norm based on the recursive Wolverton-Wagner estimation
topic Statistics Theory
url https://arxiv.org/abs/2409.01451