On the Strong Law of Large Numbers for Generalized Pairwise NQD Random Sequences
نویسندگان
چکیده
منابع مشابه
the strong law of large numbers for pairwise negatively dependent random variables
in this paper, strong laws of large numbers (slln) are obtained for the sums ƒ°=nii x1, undercertain conditions, where {x ,n . 1} n is a sequence of pairwise negatively dependent random variables.
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For a sequence of pairwise negative quadrant dependent random variables {Xn, n ≥ 1}, conditions are given under which normed and centered partial sums converge to 0 almost certainly. As special cases, new results are obtained for weighted sums { ∑n j=1 ajXj , n ≥ 1} where {an, n ≥ 1} is a sequence of positive constants and the {Xn, n ≥ 1} are also identically distributed. A result of Matu la [1...
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Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem ...
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In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....
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ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2012
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2012.24029