Skip to main content
Extreme Statistics
XSTAT
Extreme Statistics
Main navigation
Home
People
All Profiles
Principal Investigators
Postdoctoral Fellows
Students
Alumni
Former Members
Events
All Events
Events Calendar
News
About
Contact Us
Publications
Teaching
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.
