Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 13, Issue 2


Published
on


Pages

151-156


DOI

Article

New Tail Probability Type Concentration Inequalities and Complete Convergence for WOD Random Variables


Authors

Zoubeyr Kaddour Affiliation:
PhD Student of Mathematics, S.A University Center of Naama, Algeria
, Abderrahmane Belguerna Affiliation:
Sciences and technologies institute, department of Mathematics and computer sciences. University center of Naama. Algeria
and Samir Benaissa Affiliation:
Professor of Mathematics, D.L University of SBA, Algeria


Abstract

Let $\{Z_n, n \ge 1\}$ be sequence of Widely Orthant Dependent random variables (WOD). The goal of this paper is to obtain some concentration inequalities 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).


Keywords

WOD sequence, exponential inequalities, complete convergence, concentration inequalities


Citation

Kaddour, Z., Belguerna, A., & Benaissa, S. (2022). New tail probability type concentration inequalities and complete convergence for WOD random variables. Turkish Journal of Computer and Mathematics Education, 13(2), 151–156.

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