Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Negatively Dependent Random Variables

MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

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 ....

marcinkiewicz-type strong law of large numbers for double arrays of negatively dependent random variables

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 . the res...

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.

Strong Laws of Large Numbers for Arrays of Rowwise NA and LNQD Random Variables

On the Strong Law of Large Numbers for Weighted Sums of Arrays of Rowwise Negatively Dependent Random Variables

Let {Xni | 1 ≤ i ≤ n, n ≥ 1} be an array of rowwise negatively dependent (ND) random variables. We in this paper discuss the conditions of ∑n i=1 aniXni → 0 completely as n → ∞ under not necessarily identically distributed setting and the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables is also considered.