منابع مشابه
A Note for Extension of Almost Sure Central Limit Theory
for any continuity point x of H . Several papers have dealt with logarithmic limit theorems of this kind and the above relation has been extended in various directions. Fahrner and Stadtmüller [5] gave an almost sure version of a maximum limit theorem. Berkes and Horváth [2] obtained a strong approximation for the logarithmic average of sample extremes. Berkes and Csáki [1] showed that not only...
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Let { } n n N X ∈ be a strictly stationary sequence of ρ−-mixing random variables. We proved the almost sure central limit theorem, containing the general weight sequences, for the partial sums n n S σ , where ∑ n i i S X 1 = = , n n S σ 2 2 E = . The result generalizes and improves the previous results.
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*Correspondence: [email protected] 2College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, 314001, P.R. China Full list of author information is available at the end of the article Abstract Let (Xn) be a sequence of i.i.d., positive, square integrable random variables with E(X1) =μ > 0, Var(X1) = σ 2. Denote by Sn,k = ∑n i=1 Xi – Xk and by γ = σ /μ the coefficien...
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ژورنال
عنوان ژورنال: Revue zoologique africaine.
سال: 1920
ISSN: 0251-074X
DOI: 10.5962/bhl.part.22394