Abstract
We establish a uniform functional law of the logarithm for a Gaussian process closely related to the local empirical process. We then discuss the necessity of the polynomial covering assumption on the indexing class of functions.
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Mason, D.M. (2003). A Uniform Functional Law of the Logarithm for a Local Gaussian Process. In: Hoffmann-Jørgensen, J., Wellner, J.A., Marcus, M.B. (eds) High Dimensional Probability III. Progress in Probability, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8059-6_9
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DOI: https://doi.org/10.1007/978-3-0348-8059-6_9
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