Large deviations for weighted random sums

In the present paper we consider weighted random sums ZN = ∑j=1 N ajXj, where 0 <= aj < ∞, N denotes a non-negative integer-valued random variable, and {X, Xj , j = 1, 2,...} is a family of independent identically distributed random variables with mean EX = µ and variance DX = σ2 > 0. Throu...

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Bibliographic Details
Main Authors: Aurelija Kasparavičiūtė, Leonas Saulis
Format: Article
Language:English
Published: Vilnius University Press 2013-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14017