NEW TAIL PROBABILITY TYPE INEQUALITIES AND COMPLETE CONVERGENCE FOR WOD RANDOM VARIABLES WITH APPLICATION TO LINEAR MODEL GENERATED BY WOD ERRORS-Reference-Cited by-同舟云学术

NEW TAIL PROBABILITY TYPE INEQUALITIES AND COMPLETE CONVERGENCE FOR WOD RANDOM VARIABLES WITH APPLICATION TO LINEAR MODEL GENERATED BY WOD ERRORS

Published:2022-06-30 Issue:2 Volume:22 Page:309-318
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

KADDOUR ZOUBEYR¹,BELGUERNA ABDERRAHMANE²,BENAISSA SAMIR³

Affiliation:

1. Laboratory of Analysis and Control of P.D.E, University of Sidi Bel Abbes, Algeria. / University Center of Naama, Department of Mathematics and Computer Sciences, 45100 Naama, Algeria.

2. University Center of Naama, Department of Mathematics and Computer Sciences, 45100 Naama, Algeria.

3. Djillali Lyabes University of SBA, Department of Probabilities and Statistics, 22000 Sidi Bel Abbes, Algeria.

Abstract

In this paper, we prove an exponential type inequality for unbounded Widely Orthant Dependent (WOD) random variables. Then we will use this inequality for establishing the almost complete convergence for a sequence of widely dependent random variables (WOD). As an application, we combine Markov inequalities and the new exponential inequality to discuss almost complete convergence of errors generated by a sequence of dependent random variables (WOD) in linear models.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

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