An extension of Skorohod’s almost sure representation theorem
نویسندگان
چکیده
منابع مشابه
An Extension of Almost Sure Central Limit Theorem for Order Statistics
Let {Xn, n ≥ 1} be a sequence of iid random variables. Let M (1) n and M (2) n denote the first and the second largest maxima. Assume that there are normalizing sequences an > 0, bn and a nondegenerate limit distribution G, such that a−1 n (M (1) n − bn) d → G. Assume also that {dk, k ≥ 1} are positive weights obeying some mild conditions. Then for x > y we have
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1983
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1983-0718998-0