English

On stable central limit theorems for multivariate discrete-time martingales

Probability 2024-07-29 v1 Statistics Theory Statistics Theory

Abstract

We provide a systematic approach to stable central limit theorems for d-dimensional martingale difference arrays and martingale difference sequences. The conditions imposed are straightforward extensions of the univariate case.

Keywords

Cite

@article{arxiv.2407.18633,
  title  = {On stable central limit theorems for multivariate discrete-time martingales},
  author = {Erich Häusler and Harald Luschgy},
  journal= {arXiv preprint arXiv:2407.18633},
  year   = {2024}
}
R2 v1 2026-06-28T17:54:26.532Z