Considerations about some problems on functional parametrical models implementation from a discrete set of data

Details Considerations about some problems on functional parametrical models implementation from a discrete set of data Considerations about some problems on functional parametrical models implementation from a discrete set of data

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jsrs.meet..117m&link_type=abstract

"Proceedings of the "Journées Systèmes de Référence Spatio-temporels 2007". Observatoire de Paris, 17-19 September 2007. Editor:

Astronomy and Astrophysics

Astronomy

Scientific paper

The least squares method is widely used in Fundamental Astronomy in the determination of some parameters that are usually coefficients of functional developments based on certain regularity hypothesis about the developed function. This hypothesis of regularity in the working domain, together with the spatial distribution of the discrete data and their statistical properties should be carefully treated if we want to obtain reliable results. The use of a kernel based method is shown as a robust procedure and allows to generalize, in numerical terms, the usual least-squares statistical treatment.

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