A universal result in almost sure central limit theory

By István Berkes, E. Csáki. 2001

184 citations recorded by the source corpus.

Subfields: Finance, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/891b30c71e9ebbe4597912d8d2f8957343d58968

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1. Khurelbaatar Gonchigdanzan
2. E. Csáki

Citations in the corpus

• Almost sure limit theorems for the maximum of stationary Gaussian sequences (2002, background): “…G for a nondegenerate distribution G and some numerical sequences (ak) and (bk) , then we have lim n→∞ 1 logn n∑ k=1 1 k I (ak(Mk − bk) x) = G(x) a.s. for any continuity point x of G. Berkes and Csáki (2001) extended the ASCLT for general nonlinear functionals of independent random variables.”