Strong laws of large numbers for sequences of blockwise and pairwise m-dependent random variables in metris spaces
نویسندگان
چکیده
منابع مشابه
ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
In this paper, we extend and generalize some recent results on the strong laws of large numbers (SLLN) for pairwise independent random variables [3]. No assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). Also Chandra’s result on Cesàro uniformly integrable r.v.’s is extended.
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Definition 1.2 Let m be a positive integer. A sequence of random variables {Xn, n ≥ 1} is said to be m-negatively associated (m-NA) if for any finite subset of index A = {i1, i2, . . . , in} ⊂ N = {1, 2, 3, . . .}, where n ≥ 2, such that |ik − ij | ≥ m for all 1 ≤ k ̸= j ≤ n, we have that {Xi1 , . . . , Xin} is NA. The concept of m-NA random variables was introduced by Hu et al. [2] where the co...
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in this paper, we extend and generalize some recent results on the strong laws of large numbers (slln) for pairwise independent random variables [3]. no assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). also chandra’s result on cesàro uniformly integrable r.v.’s is extended.
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2016
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-016-0152-8