Maximal Inequalities for Partial Sums of $\rho$-Mixing Sequences

Qi-Man Shao

doi:10.1214/aop/1176988297

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Home > Journals > Ann. Probab. > Volume 23 > Issue 2 > Article

April, 1995 Maximal Inequalities for Partial Sums of $\rho$-Mixing Sequences

Qi-Man Shao

Ann. Probab. 23(2): 948-965 (April, 1995). DOI: 10.1214/aop/1176988297

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Abstract

A Rosenthal-type inequality for maximum partial sums of $\rho$-mixing sequences is obtained. Applications to the complete convergence and almost sure summability of partial sums are also discussed.

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Qi-Man Shao. "Maximal Inequalities for Partial Sums of $\rho$-Mixing Sequences." Ann. Probab. 23 (2) 948 - 965, April, 1995. https://doi.org/10.1214/aop/1176988297