Skip to main content
Cyber Security and Resilience Community
Cyber Security and Resilience Community
People
Faculty
Research Scientists
Postdoctoral Fellows
All People
Research Groups
Cyber Security and Resilience Technology (CyberSaR)
Roberto Di Pietro Research Group (R-Pietro)
Security Research Bearing Experimental Results (SeRBER)
Research Strategy
functional signed directionality
Nonparametric Functional Quantiles, Skewness, and Probability Bands via the Functional Signed Directionality
Emmanuel Ambriz, Postdoctoral Research Fellow, Statistics
Sep 25, 12:00
-
13:00
B9 L2 R2325
functional signed directionality
We propose the Functional Signed Directionality (FuSD), a nonparametric order for function-valued random elements that defines a pushforward distribution on the real line. This construction enables probabilistic inference in the functional domain: we define set-valued functional quantiles, introduce quantile-based summaries of functional spread and skewness, and construct tight probability bands that reflect the underlying functional law via the FuSD distribution.
