A class of nonparametric mode estimators

Pavel S. Ruzankin

doi:10.1080/03610918.2019.1711410

A class of nonparametric mode estimators

Pavel S. Ruzankin

Section of Probability Theory and Mathematical Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A class of nonparametric mode estimators is proposed. While the widely applied half sample mode estimators use the diameter of a set as the “measure of concentration”, the proposed estimators use for it some types of “variance measures”. In some cases, the new estimators perform better than half sample mode and half range mode estimators. Strong consistency is proved for an estimator from the class.

Original language	English
Number of pages	14
Journal	Communications in Statistics: Simulation and Computation
DOIs	https://doi.org/10.1080/03610918.2019.1711410
Publication status	Published - 22 Jan 2020

Keywords

Fraction-of-sample mode
Half sample mode
Nonparametric mode estimator
ROBUST ESTIMATORS
DENSITY-FUNCTION
MULTIVARIATE
CONVERGENCE
EFFICIENT ESTIMATION

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10.1080/03610918.2019.1711410

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KW - ROBUST ESTIMATORS

KW - DENSITY-FUNCTION

KW - MULTIVARIATE

KW - CONVERGENCE

KW - EFFICIENT ESTIMATION

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A class of nonparametric mode estimators

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Keywords

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