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- W2013671929 abstract "Let X1, X2,… be independent, identically distributed random variables with EX1 = 0, EX12 = 1 and let Sn = ∑k⩽n Xk. We give nearly optimal criteria for an (unbounded) measurable function f to satisfy the a.s. central limit theorem, i.e., limN→∞1logN∑k⩽N1kƒ Skk=∫−∞+∞ƒ(x)φ(x)dx a.s., where φ is the standard normal density function." @default.
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- W2013671929 date "1998-01-01" @default.
- W2013671929 modified "2023-10-16" @default.
- W2013671929 title "Almost sure central limit theorems under minimal conditions" @default.
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- W2013671929 doi "https://doi.org/10.1016/s0167-7152(97)00101-6" @default.
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