Boolean Extremes and Dagum Distributions
Jorge Garza Vargas, Dan-Virgil Voiculescu
TL;DR
This paper investigates max-convolution and max-stable laws under Boolean independence, demonstrating that these laws are characterized by Dagum distributions, also known as log-logistical distributions.
Contribution
It establishes a novel connection between Boolean max-stable laws and Dagum distributions, expanding the understanding of Boolean probability models.
Findings
Max-convolution laws under Boolean independence are Dagum distributions.
Boolean max-stable laws are characterized as Dagum distributions.
The study broadens the application of Dagum distributions in probability theory.
Abstract
We study the max-convolution and max-stable laws for Boolean independence and prove that these are Dagum distributions (also known as log-logistical distributions).
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