Limit theorems for sequences of blockwise negatively associated random variables
نویسندگان
چکیده
منابع مشابه
Central limit theorems for nonlinear hierarchical sequences of random variables
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متن کاملWittmann Type Strong Laws of Large Numbers for Blockwise m-Negatively Associated Random Variables
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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ژورنال
عنوان ژورنال: Теория вероятностей и ее применения
سال: 2010
ISSN: 0040-361X
DOI: 10.4213/tvp4212