Quantile-respectful density estimation based on the Harrell-Davis quantile estimator

Fuente: arXiv
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Autore principale: Akinshin, Andrey
Natura: Preprint
Pubblicazione: 2024
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author Akinshin, Andrey
author_facet Akinshin, Andrey
contents Traditional density and quantile estimators are often inconsistent with each other. Their simultaneous usage may lead to inconsistent results. To address this issue, we propose a novel smooth density estimator that is naturally consistent with the Harrell-Davis quantile estimator. We also provide a jittering implementation to support discrete-continuous mixture distributions.
format Preprint
id arxiv_https___arxiv_org_abs_2404_03835
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantile-respectful density estimation based on the Harrell-Davis quantile estimator
Akinshin, Andrey
Methodology
62G05, 62G07
Traditional density and quantile estimators are often inconsistent with each other. Their simultaneous usage may lead to inconsistent results. To address this issue, we propose a novel smooth density estimator that is naturally consistent with the Harrell-Davis quantile estimator. We also provide a jittering implementation to support discrete-continuous mixture distributions.
title Quantile-respectful density estimation based on the Harrell-Davis quantile estimator
topic Methodology
62G05, 62G07
url https://arxiv.org/abs/2404.03835