Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011hsa6.conf..770c&link_type=abstract
Highlights of Spanish Astrophysics VI, Proceedings of the IX Scientific Meeting of the Spanish Astronomical Society (SEA), held
Astronomy and Astrophysics
Astrophysics
Scientific paper
In many astronomical problems one often needs to determine the upper and/orlower boundary of a given data set. An automatic approach consists in fittingthe data using a generalized least-squares method, where the function to beminimized is defined to handle asymmetrically the data at both sides of theboundary. Since, depending on the functional form of the sought boundary, theminimization cannot always be performed analytically, a numerical approach,based on the popular downhill simplex method, is employed. The procedure isvalid for any numerically computable function. Simple polynomials provide goodboundaries in common situations. For data exhibiting a complex behaviour, theuse of adaptive splines gives excellent results. Since the described method issensitive to extreme data points, the simultaneous introduction of errorweighting and the flexibility of allowing some points to fall outside of thefitted frontier, supplies the parameters that help to tune the boundary fittingdepending on the nature of the considered problem.
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