On the strong law of large numbers for $d$-dimensional arrays of random variables
نویسندگان
چکیده
منابع مشابه
MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
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Let Z+, where d is a positive integer, denote the positive integer d-dimensional lattice points. The notation m ≺ n, where m = (m1,m2, ...,md) and n = (n1, n2, ..., nd) ∈ Z d +, means that mi 6 ni, 1 6 i 6 d. Let {αi, 1 6 i 6 d} be positive constants, and let n = (n1, n2, ..., nd) ∈ Z d +, we denote |n| = ∏d i=1 ni, |n(α)| = ∏d i=1 n αi i , I(n) = {(a1, . . . , ad) ∈ Z d + : 2 ni−1 6 ai < 2 ni ...
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ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2007
ISSN: 1083-589X
DOI: 10.1214/ecp.v12-1331