Functional Data Analysis
I have extensive experience in working with continuous objects. Among the themes I have been studying there are:
Quantile scalar-on-function regression;
Hierarchical models;
Functional time series;
Registration;
Global and interval-wise testing.
Geostatistics and Space-Time Random Fields
I work on random fields as a statistical alternative to PDE solvers, in particular on:
Covariance and spectral models;
Simulation methods;
Geometry-informed estimation.
Extremes and Quantitative Risk
I am interested in the detection of tail events and systems changing their dynamics. I have focussed on:
Extremile scalar-on-function regression;
Regime-switching stochastic models;
Mixed Poisson models.