English

On Shige Peng's central limit theorem

Probability 2018-07-02 v1 Optimization and Control

Abstract

We give error estimates in Peng's central limit theorem for not necessarily nondegenerate case. The exposition uses the language of the classical probability theory instead of the language of the theory of sublinear expectations. We only consider the one-dimensional case. The higher dimensional extension is straightforward.

Cite

@article{arxiv.1806.11238,
  title  = {On Shige Peng's central limit theorem},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:1806.11238},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T02:45:35.420Z