Yuki Ueda

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math.PR2026

On the rate of convergence to the Boolean extreme value distribution under the von Mises condition

Yuki Ueda

We investigate the rate of convergence toward the Boolean extreme value distribution, which is the universal limiting law for the normalized spectral maximum of Boolean independent…

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 $I^¼_{t, I^¸, I^»}$ ( $t, I^¸ > 0$ and $I^» \geq 1$ ), which includes both the free gamma distributions introd…