Abstract
For $U$-Statistics and von Mises' differentiable statistical functions, when the regular functional is stationary of order zero, almost sure convergence to appropriate Wiener processes is studied. A second almost sure invariance principle, particularly useful in the context of the law of iterated logarithm and the probability of moderate deviations, is also established.
Citation
Pranab Kumar Sen. "Almost Sure Behaviour of $U$-Statistics and Von Mises' Differentiable Statistical Functions." Ann. Statist. 2 (2) 387 - 395, March, 1974. https://doi.org/10.1214/aos/1176342675
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