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

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

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.

Original language	English
Article number	108670
Number of pages	6
Journal	Statistics and Probability Letters
Volume	158
DOIs	https://doi.org/10.1016/j.spl.2019.108670
Publication status	Published - 1 Mar 2020

Keywords

Multidimensional space
Nonparametric mode estimator
ROBUST ESTIMATORS
EMPIRICAL PROCESSES
EFFICIENT ESTIMATION

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10.1016/j.spl.2019.108670

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title = "A fast mode estimator in multidimensional space",

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.}",

year = "2020",

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language = "English",

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T1 - A fast mode estimator in multidimensional space

AU - Ruzankin, Pavel S.

AU - Logachov, Artem V.

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N2 - 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.

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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DO - 10.1016/j.spl.2019.108670

M3 - Article

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

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