English

A simple proof for monotone CLT

Probability 2009-12-21 v1 Operator Algebras

Abstract

In the case of monotone independence, the transparent understanding of the mechanism to validate the central limit theorem (CLT) has been lacking, in sharp contrast to commutative, free and Boolean cases. We have succeeded in clarifying it by making use of simple combinatorial structure of peakless pair partitions.

Keywords

Cite

@article{arxiv.0912.3728,
  title  = {A simple proof for monotone CLT},
  author = {Hayato Saigo},
  journal= {arXiv preprint arXiv:0912.3728},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T14:25:48.434Z