A Generalization of Discounted Central Limit Theorem and its Berry-Esseen Analogue

Discounted central limit theorem was proved for i.i.d. random variables by Gerber (Theorem 2.1). This work is intended to extend the work of Gerber to the case where {??} is a periodic sequence of independent variables and ?i are periodic scalars. A simulation study was performed in order to support...

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Bibliographic Details
Main Authors: B. Amiri Aghbilagh, Z. Shishebor, M.M. Saber
Format: Article
Language:English
Published: Springer 2014-12-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Online Access:https://www.atlantis-press.com/article/14752.pdf