

The Berezinskii-Kosterlitz-Thouless (BKT) Phase and its Domain of Attraction (4/4)
By Christophe Garban


The Berezinskii-Kosterlitz-Thouless (BKT) Phase and its Domain of Attraction (3/4)
By Christophe Garban
Appears in collection : Thematic month on statistics - Week 4: Extremes, copulas and actuarial science / Mois thématique sur les statistiques - Semaine 4 : Extrêmes, copules et actuariat
A distance based measure of dependence is proposed for stable distributions that completely characterizes independence for a bivariate stable distribution. Properties of this measure are analyzed, and contrasted with the covariation and co-difference. A sample analog of the measure is defined and demonstrated on simulated and real data, including time series and distributions in the domain of attraction of a stable law. This is joint work with Tuncay Alparslan.