[Forum SIS] Seminario Prof. P. Secchi

[Julia Mortera]

Mercoledi 5 marzo ore 14,30 presso il Dipartimento di Economia, 
Università Roma Tre, aula seminari, il
*Prof. Piercesare Secchi,*  del Dipartimento di Matematica, Politecnico 
di Milano
terrà  un seminario  dal titolo

*Functional data with spatial dependence: three environmental applications*

*Abstract*

When dealing with high-dimensional georeferenced data, the need of 
spatial prediction results in both theoretical and practical issues. The 
talk addresses these problems by proposing an extension of some 
geostatistical techniques to nonstationary functional random fields.A 
new theoretical framework is established to perform Universal Kriging of 
spatially dependent functional data belonging to a Hilbert space; 
moreover, estimators of the spatial mean and the spatial covariance 
structure are derived. The generality of the proposed approach allows to 
include pointwise and differential information brought by data by 
embedding the analysis in a proper Hilbert space, possibly other than L^2.
Three environmental case studies will serve as illustration. The first 
deals with temperarture curves embedded in L^2 while the second 
considers particle size curves treated as compositional data and handled 
through the Aitchison geometry. In the third case study, a Hilbert space 
approximation is exploited to make spatial predictions for the random 
field of covariances between temperature and precitipitation, which 
belong to a Riemannian manifold, the space of positive definite 
symmetric matrices.

-- 
Prof.ssa Julia Mortera
Dipartimento di Economia
Università Roma Tre
Via Silvio D'Amico 77
00145 Roma
Tel: +39 06 57335732
Fax: +39 06 57335771
http://dipeco.uniroma3.it/docenti.asp?id=123#



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