English

On a central limit theorem for shrunken weakly dependent random variables

Probability 2014-10-02 v1

Abstract

A central limit theorem is proved for some strictly stationary sequences of random variables that satisfy certain mixing conditions and are subjected to the "shrinking operators" Ur(x):=[max{xr,0}]x/x, r0U_r(x):=[\max\{|x|-r,0\}]\cdot x/|x|,\ r \ge 0. For independent, identically distributed random variables, this result was proved earlier by Housworth and Shao.

Keywords

Cite

@article{arxiv.1410.0214,
  title  = {On a central limit theorem for shrunken weakly dependent random variables},
  author = {Richard C. Bradley and Zbigniew J. Jurek},
  journal= {arXiv preprint arXiv:1410.0214},
  year   = {2014}
}
R2 v1 2026-06-22T06:10:31.058Z