A SIMPLE PROOF FOR MONOTONE CLT-Reference-Cited by-同舟云学术

A SIMPLE PROOF FOR MONOTONE CLT

Published:2010-06 Issue:02 Volume:13 Page:339-343
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

SAIGO HAYATO¹

Affiliation:

1. Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025710004073

Reference13 articles.

1. Unification of boolean, monotone, anti-monotone, and tensor independence and L�vy processes

2. Non-commutative notions of stochastic independence

3. ON A CENTRAL LIMIT THEOREM FOR MONOTONE NOISE

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