A fast mode estimator in multidimensional space

Pavel S. Ruzankin; Artem V. Logachov

doi:10.1016/j.spl.2019.108670

A fast mode estimator in multidimensional space

Pavel S. Ruzankin, Artem V. Logachov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

A nonparametric mode estimator is proposed. For n points sampled from a unimodal distribution in R^d, the estimator has time complexity O(dn), without any pruning of the observations. Consistency and strong consistency of the estimator are proved under certain conditions.

Язык оригинала	английский
Номер статьи	108670
Число страниц	6
Журнал	Statistics and Probability Letters
Том	158
DOI	https://doi.org/10.1016/j.spl.2019.108670
Состояние	Опубликовано - 1 мар 2020

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10.1016/j.spl.2019.108670

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abstract = "A nonparametric mode estimator is proposed. For n points sampled from a unimodal distribution in Rd, the estimator has time complexity O(dn), without any pruning of the observations. Consistency and strong consistency of the estimator are proved under certain conditions.",

keywords = "Multidimensional space, Nonparametric mode estimator, ROBUST ESTIMATORS, EMPIRICAL PROCESSES, EFFICIENT ESTIMATION",

author = "Ruzankin, {Pavel S.} and Logachov, {Artem V.}",

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AU - Logachov, Artem V.

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AB - A nonparametric mode estimator is proposed. For n points sampled from a unimodal distribution in Rd, the estimator has time complexity O(dn), without any pruning of the observations. Consistency and strong consistency of the estimator are proved under certain conditions.

KW - Multidimensional space

KW - Nonparametric mode estimator

KW - ROBUST ESTIMATORS

KW - EMPIRICAL PROCESSES

KW - EFFICIENT ESTIMATION

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