The following PhD course in Geostatistics will be held at the Department of Mathematics, Politecnico di Milano
The course covers classical and advanced models and methods for the statistical analysis of data with spatial dependence. Lectures include tutorial sessions with the software R. Many case studies will be presented, with applications in the earth-sciences, in the neurosciences and more generally in the life-sciences (including medical imaging), and in the engineering.
Lessons: 1 & 2) Kriging: stationary and isotropic random fields; structural properties of the variogram; valid variogram models; variogram estimation; kriging prediction for georeferenced data; drift estimation; kriging for data in Hilbert spaces. Lecturer: A. Menafoglio. 3) Non-parametric techniques. Lecturer: Simone Vantini. 4) Bayesian models for georeferenced data and areal data. Lecturer: A. Guglielmi. 5) Numerical methods for the analysis of spatially distributed data: thin-plate splines; tensor product splines. Lecturer: L. Sangalli. 6) Spatial regression with differential regularization. Lecturer: L. Sangalli.
Essential bibliography: - N. Cressie. Statistics for Spatial data. John Wiley & Sons, New York, 1993. - S. Banerjee, B. P. Carlin, and A. E. Gelfand. Hierarchical Modeling and Analysis for Spatial Data. Chapman & Hall / CRC, 2004. - R. Bivand, E. Pebesma, V. Gomez-Rubio. Applied Spatial Data Analysis with R. Springer, 2008
Calendar: Tuesday 7/3, 14:30-17:30, aula del Consiglio, seventh floor; Kriging; Lecturer: Alessandra Menafoglio
Thursday 9/3, 10:00-13:00, aula Seminari, sixth floor; Kriging; Lecturer: Alessandra Menafoglio
Tuesday 21/3, 14:30-17:30, aula Seminari, sixth floor; Non-parametric techniques; Lecturer: Simone Vantini
Thursday 23/3, 14:30-17:30, aula Seminari, sixth floor; Bayesian models for georeferenced data and areal data; Lecturer: Alessandra Guglielmi
Tuesday 28/3, 14:30-17:30, aula Seminari, sixth floor; Numerical methods for the analysis of spatially distributed data; Lecturer: Laura Sangalli
Thursday 30/3, 14:30-17:30, aula Seminari, sixth floor; Spatial regression with differential regularization; Lecturer: Laura Sangalli
People interested to attend are kindly requested to write an email to laura.sangalli@polimi.it