Probabilistic operator Algebra Seminar: Boolean extremes and Dagum distributions
Seminar | April 2 | 2-3:50 p.m. | 736 Evans Hall
Jorge Garza Vargas, UC Berkeley
Ben Arous and Voiculescu started the study of non-commutative extreme values in 2006, proving that in the free setting the limiting distributions (max-stable laws) are generalized Pareto distributions. In this talk I will present my joint work with Voiculescu on the study of Boolean extreme values. I will show that the Boolean max-convolution is in a sense isomorphic to the classical max-convolution. This result enables us to transfer what is known about the classical max-convolution to the Boolean case, in which the max-stable laws happen to be the previously known Dagum distributions (also called log-logistical distributions).