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• W2510482938 abstract "ABSTRACTLet X, X1, X2, … be a sequence of strictly stationary φ-mixing random variables with EX = μ > 0. In this paper, we show that a self-normalized version of almost sure central limit theorem (ASCLT) holds under the assumptions that the mixing coefficients satisfy ∑∞n = 1φ1/2(2n) < ∞ and the weight sequence {dk} satisfies a mild growth condition similar to Kolmogorov’s condition for the LIL. This shows that logarithmic averages, used traditionally in ASCLT for products of sums, can be replaced by other averages, leading to considerably sharper results." @default.
• W2510482938 created "2016-09-16" @default.
• W2510482938 creator A5021101912 @default.
• W2510482938 date "2016-01-21" @default.
• W2510482938 modified "2023-09-27" @default.
• W2510482938 title "An extension of almost sure central limit theorem for self-normalized products of sums for mixing sequences" @default.
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• W2510482938 doi "https://doi.org/10.1080/03610926.2014.963619" @default.
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