Il giorno lunedì 12 gennaio alle ore 17 presso la aula seminari 4096 al quarto piano dell'edificio U7 della Università di Milano-Bicocca, il dott. Felix-Benedikt Liebrich della Università di Amsterdam terrà un seminario dal titolo Lambda-quantiles: A closer look at the new kid on the block Abstract: Lambda-VaR has initially been suggested by Frittelli et al. (2014) as a generalisation of classical Value-at-Risk. Recent years have seen a surge in work on these functionals (or slightly more generally: on Lambda-quantiles), both in financial and insurance applications and from a decision-theoretic perspective. This talk focuses on Lambda-quantiles of univariate probability distributions which generalise classical quantiles by replacing the defining constant threshold in the unit interval with a function Lambda mapping the real line to the unit interval. Working under minimal assumptions, we analyse how the choice of Lambda determines mathematical properties of the resulting functional. In particular, we examine aggregation behaviour, continuity, identifiability of the functional parameter Lambda, and the preservation of finer properties of classical quantiles such as ordinal covariance. We conclude by discussing interpretational issues in financial applications. Based on joint work with Fabio Bellini. Tutti gli interessati sono invitati a partecipare. Fabio Bellini °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°° Prof. Fabio Bellini Dipartimento di Statistica e Metodi Quantitativi (DISMEQ) Università degli Studi di Milano-Bicocca Edificio U7, IV piano, stanza 4055 Via Bicocca degli Arcimboldi 8, 20126 Milano Webex: https://unimib.webex.com/meet/fabio.bellini Orcid: https://orcid.org/0000-0002-3597-808X Scholar: https://scholar.google.it/citations?user=P61L8P4AAAAJ&hl=it °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°° °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°