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A moment inequality and its applications. (Chinese) Zbl 0698.60025

The author applied a Marcinkiewicz-Zygmund type inequality to the study of the convergence rate of the strong law and the invariance principle of \(\phi\)-mixing sequences. Related works can be found in M. Peligrad, Ann. Probab. 10, 968-981 (1982; Zbl 0503.60044), and ibid. 13, 1304-1313 (1985; Zbl 0597.60018).
Reviewer: Hwang Chi-Ruey

MSC:

60F05 Central limit and other weak theorems
60B10 Convergence of probability measures
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