@inproceedings{4c5d45e2a41749538dbfd3d87ae9ecbf,
title = "Approximation of average course of measured subsidences of mining area by smooth splines",
abstract = "The article presents the way of determining an average course of subsidences of mining area measured after the termination of the subsequent mining stages run in the south of Poland by {"}Chwa{\l}owice{"} coalmine. The mean square approximation was conducted via smooth spline with the use of R - project programme. The problem of ambiguity of parameter value of smoothing of approximation function spar (in case when the function illustrating dependence among parameter values of smoothing and values obtained by generalised cross validation reaches its minimum value in a certain range of its values) was solved with the use of mean square minimalisation criterion of loss function between approximated and forecast subsidence values of Bialek's formulas and the Budryk-Knothe theory. The efficiency of both forecasts was verified as well as their accuracy was estimated based on average course of measured subsidences.",
author = "Justyna Orwat",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992303",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
address = "United States",
}