A Martingale Inequality for the Empirical Process

Jon A. Wellner

doi:10.1214/aop/1176995856

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Home > Journals > Ann. Probab. > Volume 5 > Issue 2 > Article

April, 1977 A Martingale Inequality for the Empirical Process

Jon A. Wellner

Ann. Probab. 5(2): 303-308 (April, 1977). DOI: 10.1214/aop/1176995856

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Abstract

A martingale inequality for the $\rho_q$ distance from the uniform empirical process to zero is proved, compared with other inequalities for the process, and used to establish a law of the iterated logarithm.

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Jon A. Wellner. "A Martingale Inequality for the Empirical Process." Ann. Probab. 5 (2) 303 - 308, April, 1977. https://doi.org/10.1214/aop/1176995856