About Emmanuel Ambriz Emmanuel Ambriz Postdoctoral Research Fellow, Statistics multivariate analysis functional data analysis nonparametric statistics Events Presented Events Sep 21 - Sep 27, 2025 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. May 11 - May 17, 2025 The Signed Translation Transformed Depth: Order, Quantiles, Spread, Skewness, and Quantile Regression for Multivariate Functional Data Emmanuel Ambriz, Postdoctoral Research Fellow, Statistics May 15, 12:00 - 13:00 B9 L2 R2325 multivariate analysis This seminar introduces the Signed Translation transformed Depth (STtD), a novel interpretable ordering method for multivariate functional data, which enables enhanced distributional analysis, the definition of descriptive tools, and a flexible vine copula-based quantile regression framework.
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.
The Signed Translation Transformed Depth: Order, Quantiles, Spread, Skewness, and Quantile Regression for Multivariate Functional Data Emmanuel Ambriz, Postdoctoral Research Fellow, Statistics May 15, 12:00 - 13:00 B9 L2 R2325 multivariate analysis This seminar introduces the Signed Translation transformed Depth (STtD), a novel interpretable ordering method for multivariate functional data, which enables enhanced distributional analysis, the definition of descriptive tools, and a flexible vine copula-based quantile regression framework.
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