Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664467 | Acta Mathematica Scientia | 2007 | 11 Pages |
Abstract
M-negatively associated random variables, which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its particular case, are introduced and studied. Large deviation principles and moderate deviation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.
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Mathematics
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