A simple proof for monotone CLT

Details A simple proof for monotone CLT A simple proof for monotone CLT

2009-12-18

arxiv.org/abs/0912.3728v1

Mathematics

Probability

5 pages

Scientific paper

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.

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