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

2025/07/09 by Ueda, Yuki
#46L54 #60G70 #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.2507.06580

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 positive operators, under the von Mises condition.

Citations

• Rates of convergence for laws of the spectral maximum of free random variables
• Limiting forms of the frequency distribution of the largest or smallest member of a sample

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