J. Potthoff, P. Sundarj
Abstract
It is shown that limit theorems similar to the law of large numbers and the central limit theorem hold for (certain versions of) Donsker's delta function strongly in the space of Hida distributions . Furthermore, the law of large numbers is shown to hold weakly in the Meyer-Watanabe space .
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It is shown that limit theorems similar to the law of large numbers and the central limit theorem hold for (certain versions of) Donsker's delta function strongly in the space of Hida distributions . Furthermore, the law of large numbers is shown to hold weakly in the Meyer-Watanabe space .
Key concepts: Central limit theorem, Mathematics, Law of large numbers, Limit of a function, Limit (mathematics), Uniform limit theorem, Law, Donsker's theorem