On the complete convergence for pairwise negatively quadrant dependent random variables
نویسندگان
چکیده
منابع مشابه
STRONG CONVERGENCE FOR m-PAIRWISE NEGATIVELY QUADRANT DEPENDENT RANDOM VARIABLES
Abstract. Complete convergence and the Marcinkiewicz-Zygmund strong law of large numbers for sequences of m-pairwise negatively quadrant dependent (m-PNQD) random variables is studied in this paper. The results obtained extend and improve the corresponding theorems of Choi and Sung ([4]) and Hu et al. ([9]). A version of the Kolmogorov strong law of large numbers for sequences of m-PNQD random ...
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Let {Xn, n ≥ 1} be a sequence of independent and identically random variables. In 1947 Hsu and Rabbins proved that if E[X] = 0 and E[X2] < ∞, then 1 n ∑n k=1Xk converges to 0 completely. Recently, the strong convergence of weighted sums for the case of independent random variables has been discussed by Wu (1999), Hu and et. (2000, 2003) proved the complete convergence theorem for arrays of inde...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2015
ISSN: 1029-242X
DOI: 10.1186/s13660-015-0734-0