A class of nonparametric mode estimators. Issue 6 (3rd June 2022)

• Record Type: Journal Article
• Authors: Ruzankin, Pavel S.
• Is Part Of: Communications in statistics. Volume 51:Issue 6(2022)
• Page Start: 3291
• Page End: 3304
• Publication Date: 2022-06-03
• Subjects: Fraction-of-sample mode -- Half sample mode -- Nonparametric mode estimator; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2019.1711410
• Languages: English
• ISSNs: 0361-0918

Abstract

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.