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Article by |
����ԭ���ƹ㵽�����������ƽ�����̵ļ�Ȩ���ֺ���,
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��Ϊ����ӳ�䶨���һ�����, ����Ҳ������һЩ������������ĸ��ʱ߽�.
weak invariance principle for stationary processes to a weighted
partial sums of long memory infinite moving average processes. This
note also contains some bounds on the second moments of increments
of some weighted partial sum processes of a general long memory time
series, not necessarily moving average type. These bounds are useful
in proving the tightness in uniform metric of these processes. As a
consequence of continuous mapping theorem, the probability bounds on
certain functions of random variables can be established.