From Multivariate to Functional Linear Regression
作者： L. Prchal
DOI:
关键词:
摘要: The aim of this contribution is to present a new, however rapidly developing domain statistics - functional data analysis (FDA). A particular problem extending multivariate regression the setting discussed. First all, two real sets and connected problems are presented. Multivariate briefly recalled focusing mainly on case strongly correlated predictors its disadvantages for FDA. direct (naive) approach from then mentioned. Finally, linear model introduced methods estimating parameter
参考文章(11)
Frédéric Ferraty, Philippe Vieu, The Functional Nonparametric Model and Application to Spectrometric Data Computational Statistics. ,vol. 17, pp. 545- 564 ,(2002) , 10.1007/S001800200126
Bernard W. Silverman, James O. Ramsay, Applied Functional Data Analysis: Methods and Case Studies ,(2002)
Pascal Sarda, F reric Ferraty, SPLINE ESTIMATORS FOR THE FUNCTIONAL LINEAR MODEL ,(2003)
Hervé Cardot, Frédéric Ferraty, Pascal Sarda, Functional linear model Statistics & Probability Letters. ,vol. 45, pp. 11- 22 ,(1999) , 10.1016/S0167-7152(99)00036-X
Arthur E. Hoerl, Robert W. Kennard, Ridge regression: biased estimation for nonorthogonal problems Technometrics. ,vol. 42, pp. 80- 86 ,(2000) , 10.2307/1271436
Rainer Kress, Vladimir Maz'ya, Vladimir Kozlov, Linear Integral Equations ,(1989)
lldiko E. Frank, Jerome H. Friedman, A Statistical View of Some Chemometrics Regression Tools Technometrics. ,vol. 35, pp. 109- 135 ,(1993) , 10.1080/00401706.1993.10485033
William F. Massy, Principal Components Regression in Exploratory Statistical Research Journal of the American Statistical Association. ,vol. 60, pp. 234- 256 ,(1965) , 10.1080/01621459.1965.10480787
Johan Trygg, Svante Wold, Lennart Eriksson, Nouna Kettaneh, The PLS method -- partial least squares projections to latent structures -- and its applications in industrial RDP (research, development, and production) dd. ,(2004)
J. O. Ramsay, B. W. Silverman, Functional Data Analysis Springer Series in Statistics. pp. 5822- 5828 ,(1997) , 10.1007/978-1-4757-7107-7