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

TL;DR

This paper studies how quickly the spectral maximum of Boolean independent positive operators converges to the Boolean extreme value distribution under the von Mises condition.

Contribution

It provides new insights into the convergence rate of spectral maxima in Boolean probability theory under specific regularity conditions.

Findings

Established the rate of convergence under the von Mises condition

Extended classical extreme value results to Boolean probability setting

Identified conditions ensuring universal limiting behavior

Abstract

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 and identically distributed positive operators, under the von Mises condition.