Article citationsMore>>

Mielniczuk, J. (2002) Some Remarks on the Almost Sure Central Limit Theorem for Dependent Sequences. Limit Theorems in Probability and Statistics, 2, 391-403.

has been cited by the following article:

• TITLE: A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences

  AUTHORS: Yuanfang Wang, Qunying Wu

  KEYWORDS: Almost Sure Central Limit Theorem, Stationary Gaussian Sequence, Slowly Varying Functions at Infinity

  JOURNAL NAME: Applied Mathematics, Vol.5 No.10, June 9, 2014

  ABSTRACT: Considering a sequence of standardized stationary Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is established. Our result generalizes and improves that on the almost sure central limit theory previously obtained by Marcin Dudzinski [1]. Our result reaches the optimal form.