Translator Disclaimer
2018 Asymptotic Results For Continuous Associated Kernel Estimators of Density Functions
Célestin C. Kokonendji, Francial Giscard B. Libengué Dobélé-Kpoka
Afr. Diaspora J. Math. (N.S.) 21(1): 87-97 (2018).

Abstract

Symmetric kernel estimators of an unknown density function on a partial or totally bounded support suffer from edge effects and several authors considered specific asymmetric kernels, belonging in the large class of continuous associated kernels. Asymptotic properties of the corresponding estimators have been examined on a case-by-case basis. In this paper, it is proposed general asymptotic results for continuous associated kernel estimators; in particular, weak and strong global convergences are shown with respect to both uniform and $L^1$ norms. Three lognormal kernel estimators have used for illustrations and discussions. Finally, some concluding remarks are made.

Citation

Download Citation

Célestin C. Kokonendji. Francial Giscard B. Libengué Dobélé-Kpoka. "Asymptotic Results For Continuous Associated Kernel Estimators of Density Functions." Afr. Diaspora J. Math. (N.S.) 21 (1) 87 - 97, 2018.

Information

Published: 2018
First available in Project Euclid: 21 December 2018

zbMATH: 07002178
MathSciNet: MR3885552

Subjects:
Primary: 62G07, 62G20, 62G99

Rights: Copyright © 2018 Mathematical Research Publishers

JOURNAL ARTICLE
11 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.21 • No. 1 • 2018
Back to Top