THE CONSISTENCY OF THE KERNEL ESTIMATION OF THE FUNCTION CONDITIONAL DENSITY FOR ASSOCIATED DATA IN HIGH-DIMENSIONAL STATISTICS-Reference-Cited by-同舟云学术

THE CONSISTENCY OF THE KERNEL ESTIMATION OF THE FUNCTION CONDITIONAL DENSITY FOR ASSOCIATED DATA IN HIGH-DIMENSIONAL STATISTICS

Published:2022-06-30 Issue:2 Volume:22 Page:247-256
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

BOUAKER IMED¹,BELGUERNA ABDERRAHMANE²,DAOUDI HAMZA³

Affiliation:

1. Salhi Ahmed University CenterInstitute of Science and Technology, Department of Mathematics and Computer sciences, 45000, Naama, Algeria, Laboratory of Analysis and Control of P.D.E, University of Sidi Bel Abbes, Algeria.

2. Salhi Ahmed University CenterInstitute of Science and Technology, Department of Mathematics and Computer sciences, 45000, Naama, Algeria.

3. University Tahri Mohammed, Department of electrical engineering, 08000 Bechar, Algeria.

Abstract

The purpose of the present paper is to investigate by the kernel method a nonparametric estimate of the conditional density function of a scalar response variable given a random variable taking values in a separable real Hilbert space when the observations are quasi-associated dependent. Under some general conditions, we establish the pointwise almost complete consistencies with rates of this estimator. The principal aim is to investigate of the convergence rate of the proposed estimator.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference12 articles.

1. Bulinski, A., Suquet, C., Statist. Probab. Lett, 54, 215, 2001.

2. Daoudi, H., Mechab, B., Pakistan JSOR, 15, 999, 2019.

3. Douge, L., Ann. I.S.U.P,54, 51, 2010.

4. Ezzahrioui, M., Ould-Sad, E.,Technical report, LMPA, Univ. Littoral Cote d‘Opale, 249, 2009.

5. Ezzahrioui, M., Ould-Sad, E., Technical report, LMPA, Univ. du Littoral Cote d‘Opale,277,2006.

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