Abstract
A classification and identification problem is solved in the case of functional data. Functional data are data records considered as functions rather than vectors of observations at different values of the argument. This research deals with the spectral lines of rocks, being treated with light in the visible and mid-infrared regions. In a first step Principal Component Analysis in the functional data case will be applied to spectral lines of rock samples of various rock types to find out, whether the spectral lines can be separated.
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References
Ramsay J. 0., Silverman B. W. (2002) Applied Functional Data Analysis. Methods and Case Studies. Springer, Berlin Heidelberg
Ramsay J. 0., Silverman B. W. (1997) Functional Data Analysis. Springer, Berlin Heidelberg
Green P. J., SilvermanB. W. (1994) Nonparametric Regression and Generalized Linear Models. Monographs on Statistics and Applied Probability 58. Chapman and Hall
James G. M., Hastie T. J. (2001) Functional Linear Discriminat Analysis for Irregular Sampled Curves. Internet
Hastie T. J., Buja A., Tibshirani R. (1995) Penalized Discriminant Analysis. Annals of Statistics, 23, 73 - 102
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© 2003 Springer-Verlag Berlin Heidelberg
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Hofer, V. (2003). Application of Techniques of Functional Data Analysis to Spectroscopic Data. In: Leopold-Wildburger, U., Rendl, F., Wäscher, G. (eds) Operations Research Proceedings 2002. Operations Research Proceedings 2002, vol 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55537-4_81
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DOI: https://doi.org/10.1007/978-3-642-55537-4_81
Publisher Name: Springer, Berlin, Heidelberg
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