A STRONG LIMIT THEOREM FOR SEQUENCES OF BLOCKWISE AND PAIRWISE m-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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Qunying Wu College of Science, Guilin University of Technology, Guilin 541004, China Correspondence should be addressed to Qunying Wu, [email protected] Received 11 March 2010; Revised 21 June 2010; Accepted 3 August 2010 Academic Editor: Soo Hak Sung Copyright q 2010 Qunying Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestric...
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In this article, a general central limit theorem for a triangular array of m-dependent random variables is presented. Here m may tend to innnity with the row index at a certain rate. Our theorem is a generalization of previous results. Some examples are given that show that the generalization is useful. In particular, we consider the limiting behavior of the sample mean of a running average pro...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2011
ISSN: 1015-8634
DOI: 10.4134/bkms.2011.48.2.343