Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 349
New Tail Probability Type Concentration Inequalities And Complete Convergence For END Random Variables
Zoubeyr Kaddour, Abderrahmane Belguerna, Samir Benaissa
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2297
April 15, 2297

Abstract: Let {Zn, n≥1} be negatively extended-dependent (END) random variables. The concept of general extended negative dependence (END, in short) random variables was proposed by [3] and The concept of complete convergence was given first by [1], In generally we can refer to [2] and [5]. The goal of this paper is to obtain some concentration inequalities for unbounded extended negatively dependent random variables by using the exponential inequalities see [4], Then we will use this concentration inequality for establishing the almost complete convergence for a sequence of extended ...