Probability and Statistics

Probability and Statistics

Probability and statistics are the parts of mathematics that deal with real phenomena that have a component of uncertainty (randomness). Probability studies the mathematical models for this randomness. Statistics deals with the problem of the choice of suitable models for the phenomena of our interest.

All scientific areas use probability and statistics either for the treatment of experimental data or in order to predict new outcomes.

These areas have a long tradition in Barcelona, where there are different groups working in their theoretical and applied aspects.

Research Lines

Stochastic processes

Keywords: Stochastic integration. Stochastic PDE’s. Limit theorems. Stochastic modeling. Malliavin calculus. Queing systems. Mathematical finance.

Elisa Alòs (UPF)
Xavier Bardina (UAB)
José Manuel Corcuera (UB)
Eulàlia Nualart (UPF)
Lluís Quer-Sardanyons (UAB)
Carles Rovira (UB)
Marta Sanz-Solé (UB)
Josep Vives (UB)

Advanced statistical modelling, survival analysis and statistical bioinformatics

Keywords: Longitudinal models. Generalized linear models with random effects. Applied Stochastic processes. Count data models. Biodosimetry. Time series of counts. Characterization of distributions. Extreme value theory.  Biostatistics. Survival Analysis. Clinical Trials. HIV studies. Interval Censoring. Multistate models

Llorenç Badiella (UAB)
Alejandra Cabaña (UAB)
Pedro Delicado (UPC)
Guadalupe Gómez, (UPC)
Pere Puig (UAB)

 

Statistics and machine learning

Keywords: Statistical learning. Multivariate analysis, Algebraic statistics. Bayesian analysis. Monte Carlo methods. Network analysis. Nonlinear time series. Dimensionality reduction. Nonparametric Statistics.

Catalina Bolancé (UB)
Pedro Delicado (UPC)
Montserrrat Guillen (UB)
Gábor Lugosi (ICREA & UPF)
Eulalia Nualart (UPF)
Omiros Papaslipiopoulos (UPF)
Piotr Zwiernik (UPF)

Links to research groups

Researchers in the Barcelona area, and more generally in Catalonia, group themselves into smaller research groups, following not only academic but also administrative criteria, like location or research grants.