MOMENTS OF THE MAXIMUM OF NORMED PARTIAL SUMS OF RANDOM-VARIABLES WITH MULTIDIMENSIONAL INDEXES

被引：19
作者：
GUT, A
机构：
[1] Department of Mathematics, Uppsala University, Uppsala, S-75238
来源：
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1979年 / 46卷 / 02期
关键词：
D O I：
10.1007/BF00533260
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
For a set of i.i.d. random variables indexed by the positive integer d-dimensional lattice points we give conditions for the existence of moments of the supremum of normed partial sums, thereby obtaining results related to the Kolmogorov-Marcinkiewicz strong law of large numbers and the law of the iterated logarithm. © 1979 Springer-Verlag.
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页码：205 / 220
页数：16
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