Asymptotic Bounds for the Distribution of the Sum of Dependent Random Variables
نویسندگان
چکیده
منابع مشابه
Asymptotic Bounds for the Distribution of the Sum of Dependent Random Variables
Suppose X1, · · · , Xn are random variables with the same known marginal distribution F but unknown dependence structure. In this paper, we study the smallest possible value of P(X1 + · · ·+ Xn < s) over all possible dependence structures, denoted by mn,F(s). We show that mn,F(ns) → 0 for s no more than the mean of F under weak assumptions. We also derive a limit of mn,F(ns) for any s ∈ R with ...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2014
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1409932674