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Volume 40 Issue 6
Jun.  2014
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Journal of Beijing University of Aeronautics and Astronautics  > 2014  >  40(6): 792-796.
Huang Lele, Wang Huiwen, Zhu Jiaet al. Functional principal component regression for continuous spectra data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(6): 792-796. doi: 10.13700/j.bh.1001-5965.2013.0409(in Chinese)
Citation: Huang Lele, Wang Huiwen, Zhu Jiaet al. Functional principal component regression for continuous spectra data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(6): 792-796. doi: 10.13700/j.bh.1001-5965.2013.0409(in Chinese)
shu

Functional principal component regression for continuous spectra data

doi: 10.13700/j.bh.1001-5965.2013.0409

  • 1. School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;

  • 2. College of Chemistry, Beijing Normal University, Beijing 100875, China

  • Received Date: 02 Jul 2013
  • Publish Date: 20 Jun 2014
    Abstract
  • The method treating the smooth spectra as functional data was proposed and regression analysis was carried out based on functional principal components of spectra curves to obtain regression models without discretization. In modeling, the derivative curves of spectra can be introduced and bootstrap confidence intervals for functional coefficients were obtained. Using this method, the regression relationship between element concentration and X-ray spectra of glass samples was analyzed. It is shown that the functional regression based on principal components is more acceptable and has many advantages, because it complies with the characteristics of the data itself while attaining strong explanatory ability.

     

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    • References(12)
  • [1]
    Tarachiwin L, Ute K,Kobayashi A,et al.1H NMR based metabolic profiling in the evaluation of Japanese green tea quality[J].Journal of Agricultural and Food Chemistry,2007,55(23):9330-9336
    [2]
    Ohno A, Oka K,Sakuma C,et al.Characterization of tea cultivated at four different altitudes using 1H NMR analysis coupled with multivariate statistics[J].Journal of Agricultural and Food Chemistry,2011,59(10):5181-5187
    [3]
    Filzmoser P, Serneels S,Croux C,et al.Robust multivariate methods:the projection pursuit approach[M].New York:Springer,2006:270-277
    [4]
    Serneels S, Croux C,Filzmoser P,et al.Partial robust M-regression[J].Chemometrics and Intelligent Laboratory Systems,2005,79(1):55-64
    [5]
    Lee J E, Lee B J,Chung J O,et al.Geographical and climatic dependencies of green tea (Camellia sinensis) metabolites:a(1)H NMR-based metabolomics study[J].Journal of Agricultural and Food Chemistry,2010,58(19):10582-10589
    [6]
    Ramsay J O, Silverman B W.Functional data analysis[M].New York:Springer,1997
    [7]
    Cai T T, Hall P.Prediction in functional linear regression[J].Annals of Statistics,2006,34(5):2159-2179
    [8]
    James G M, Hastie T J,Sugar C A.Principal component models for sparse functional data[J].Biometrika,2000,87(3):587-602
    [9]
    Cardot H, Crambes C,Sarda P.Quantile regression when the covariates are functions[J].Journal of Nonparametric Statistics,2005,17(7):841-856
    [10]
    Hall P, Horowitz J L.Methodology and convergence rates for functional linear regression[J].The Annals of Statistics,2007,35(1):70-91
    [11]
    Crambes C, Kneip A,Sarda P.Smoothing splines estimators for functional linear regression[J].The Annals of Statistics,2009,37(1):35-72
    [12]
    Zhu J. Quantitative electron microscopy X-ray analysis (SEM-EDX) using Monte Carlo simulation and partial least squares regression[D].Antwerpen:University of Antwerp,2005
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