47 citations · 110 across the 33 of their papers we have counts for
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math.PR2009★ 1 cited
A simple proof for monotone CLT
Hayato Saigo
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,…
math.PR2009★ 47 cited
The Monotone Cumulants
Takahiro Hasebe, Hayato Saigo
In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.…