Noriyoshi Sakuma

most citedDistributions of exponential integrals of independent increment processes related to generalized gamma convolutions

4 citations · 4 across the 1 of their papers we have counts for

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math.PR2026

The Berry--Esseen Estimate in the Free Central Limit Theorem

Makoto Maejima, Noriyoshi Sakuma

We consider sums of freely independent self-adjoint random variables that are not necessarily identically distributed. Let $μ_{j}$ denote the distribution of the $j$ th summand. We as…

math.PR2026

Scaling limit theorem for mixed free and Boolean convolution powers

Hao-Wei Huang, Noriyoshi Sakuma, Pei-Lun Tseng +1

We prove a scaling limit theorem for a double sequence of probability measures involving additive free convolution $⊞$ and additive Boolean convolution $⊎$ . Let $μ$ be…

math.PR2025

Generalized Meixner-type free gamma distributions:convolution formulas and potential correspondence

Noriyoshi Sakuma, Yuki Ueda

We introduce and study a class of generalized Meixner-type free gamma distributions $μ_{t, θ, λ}$ ( $t, θ > 0$ and $λ \geq 1$ ), which includes both the free gamma distributions introduced…