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Ӧ�ø��ͳ�� 2014, 30(3) 289-295 DOI: ISSN: 1001-4268 CN: 31-1256

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�� $\100dpi \inline $(\xi_n)_{n\in\mathbf{N}}$$ Ϊ��NQD��,
�� $\100dpi \inline E|$\xi_1|=\infty$$ , $\100dpi \inline $(a_n)_{n\in\mathbf{N}}$$ ��һ��ϸ񵥵��͹��.
��Ľ� Feller (1946)��ڶ��ͬ�ֲ��еļ��޶��ƹ㵽��NQD��
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�ؼ���� NQD�� Borel-Cantelli�� ǿ��޶��.

A Limit Theorem for Pairwise NQD Random Sequence

Mu Yan, Wang Zhongzhi

School of Mathematics and Physics, Anhui University of Technology

Abstract:

Let $\100dpi \inline $(\xi_n)_{n\in\mathbf{N}}$$ be a sequence of pairwise
negatively quadrant dependent random variables with $\100dpi \inline E|$\xi_1|=\infty$$ and let
$\100dpi \inline $(a_n)_{n\in\mathbf{N}}$$ be a sequence of strictly increasing convex numbers. In
this paper, the Feller (1946)'s work on independent identically distributed
variables with infinite expectation is extended to the case of pairwise negative
quadrant dependence random variables.

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1��ƺ��, ��, ��ȺӢ, ��.��NQD��е��ȫ��[J]. Ӧ�ø��ͳ��, 2013,29(3): 275-286