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Communications in Statistics - Simulation and Computation Volume 51, 2022 - Issue 6
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Original Articles

A class of nonparametric mode estimators

Pavel S. Ruzankina Sobolev Institute of Mathematics, Novosibirsk, Russia;b Novosibirsk State University, Novosibirsk, RussiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5262-3037View further author information
ORCID Icon
Pages 3291-3304 | Received 03 Jun 2019, Accepted 28 Dec 2019, Published online: 27 Jan 2020
 
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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.

Acknowledgment

The author thanks the reviewer for interesting and useful comments.

Additional information

Funding

This work was supported by the Russian Foundation for Basic Research, under grants 18-01-00074 and 19-07-00397; and by the Program for fundamental scientific research of the SB RAS, No. I.1.3, under grant 0314-2019-0008.

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