SOME RESULTS ON ASYMPTOTIC BEHAVIORS OF RANDOM SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VARIABLES
نویسندگان
چکیده
منابع مشابه
Comparison of Sums of Independent Identically Distributed Random Variables
Let Sk be the k-th partial sum of Banach space valued independent identically distributed random variables. In this paper, we compare the tail distribution of ‖Sk‖ with that of ‖Sj‖, and deduce some tail distribution maximal inequalities. The main result of this paper was inspired by the inequality from [dP–M] that says that Pr(‖X1‖ > t) ≤ 5 Pr(‖X1 +X2‖ > t/2) whenever X1 and X2 are independent...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2010
ISSN: 1225-1763
DOI: 10.4134/ckms.2010.25.1.119