TY - JOUR ID - 31721 TI - MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2002 PY - 2002 VL - 13 IS - 3 SP - EP - DO - N2 - 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 results can be generalized to an r-dimensional array of random variables under condition , thus, extending Choi and Sung’s result [7] of one dimensional case for negatively dependent random variables. UR - https://jsciences.ut.ac.ir/article_31721.html L1 - https://jsciences.ut.ac.ir/article_31721_3052bcbe85f6bd69227ddd20b226f76a.pdf ER -