Geodesic
About estomation of the certainty of plotting the properties of geological objects in the framework of the spline approximation approach
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 66-76

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We study the influence of including or excluding one or several data items on the results of plotting the properties of geological objects in the framework of spline approximation approach. We show that the ratio of approximation errors to prediction error and the ratio of the variation of the approximating function at the points of action to the response are invariant under the specified values of the plotted parameters and can be effectively calculated for arbitrary points of the plotting region.
Keywords: geoplotting, spline approximation, approximation error, prediction error, cross-validation, stability
Mots-clés : influence. 
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     author = {A. G. Plavnik and A. N. Sidorov},
     title = {About estomation of the certainty of plotting the properties of geological objects in the framework of the spline approximation approach},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {66--76},
     publisher = {mathdoc},
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     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a6/}
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A. G. Plavnik; A. N. Sidorov. About estomation of the certainty of plotting the properties of geological objects in the framework of the spline approximation approach. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 66-76. http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a6/