Afrika Statistika

Influence of the density pole on the performances of its gamma-kernel estimator

Mouloud Cherfaoui, Mohamed Boualem, Djamil Aïssani, and Smaïl Adjabi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper, we aim at highlighting the influence of the density pole on the performances of its gamma-kernel estimator. To do this, we performed a comparative study for the performances of the gamma-kernel estimators with those provided by other bias effect correction techniques at the bounds, using the simulation technique. In conclusion, the results obtained confirm those provided in the literature and show that in some cases the normalization of the gamma estimators can considerably improve local and global performances of the gamma-kernel estimators.

Résumé

Dans ce papier, afin de mettre en évidence l'influence du pôle d'une densité sur les performances de son estimateur à noyau gamma, nous avons réalisé une étude comparative des performances des estimateurs à noyau gamma avec ceux fournis par d'autres techniques de correction du biais aux bornes, en utilisant la technique de simulation. Les résultats obtenus montrent que, dans certains cas, la normalisation des noyaux gamma peut améliorer considérablement les performances locales et globales des estimateurs à noyau gamma.

Article information

Source
Afr. Stat., Volume 12, Number 2 (2017), 1235-1251.

Dates
Received: 17 June 2016
Accepted: 29 April 2017
First available in Project Euclid: 14 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.as/1505354422

Digital Object Identifier
doi:10.16929/as/2017.1235.102

Mathematical Reviews number (MathSciNet)
MR3703438

Zentralblatt MATH identifier
1373.62143

Subjects
Primary: 62G07: Density estimation 62G20: Asymptotic properties

Keywords
Shoulder condition Pole density Normalization Performances comparison

Citation

Cherfaoui, Mouloud; Boualem, Mohamed; Aïssani, Djamil; Adjabi, Smaïl. Influence of the density pole on the performances of its gamma-kernel estimator. Afr. Stat. 12 (2017), no. 2, 1235--1251. doi:10.16929/as/2017.1235.102. https://projecteuclid.org/euclid.as/1505354422


Export citation