Fast Function-on-Scalar Regression with Penalized Basis Expansions

作者: Philip T. Reiss , Lei Huang , Maarten Mennes

DOI: 10.2202/1557-4679.1246

关键词:

摘要: … We show how our framework casts the RS estimate as a penalized ordinary least squares (P… and bridging the gap between it and recent work in the varying-coefficient model literature. …

参考文章(37)
Maria Durbán, Iain D. Currie, A note on P-spline additive models with correlated errors Computational Statistics. ,vol. 18, pp. 251- 262 ,(2003) , 10.1007/S001800300143
Grace Wahba, Bayesian "Confidence Intervals" for the Cross-validated Smoothing Spline Journal of the royal statistical society series b-methodological. ,vol. 45, pp. 133- 150 ,(1983) , 10.1111/J.2517-6161.1983.TB01239.X
John A. Rice, B. W. Silverman, Estimating the mean and covariance structure nonparametrically when the data are curves Journal of the royal statistical society series b-methodological. ,vol. 53, pp. 233- 243 ,(1991) , 10.1111/J.2517-6161.1991.TB01821.X
Giles Hooker, J. O. Ramsay, Spencer Graves, Functional Data Analysis with R and MATLAB ,(2009)
ROGER KOENKER, PIN NG, STEPHEN PORTNOY, Quantile smoothing splines Biometrika. ,vol. 81, pp. 673- 680 ,(1994) , 10.1093/BIOMET/81.4.673
R. Todd Ogden, Ernest Greene, Wavelet modeling of functional random effects with application to human vision data Journal of Statistical Planning and Inference. ,vol. 140, pp. 3797- 3808 ,(2010) , 10.1016/J.JSPI.2010.04.044
Gene H. Golub, Charles F. Van Loan, Matrix computations (3rd ed.) Johns Hopkins University Press. ,(1996)
Juliane Schäfer, Korbinian Strimmer, A Shrinkage Approach to Large-Scale Covariance Matrix Estimation and Implications for Functional Genomics Statistical Applications in Genetics and Molecular Biology. ,vol. 4, pp. 1- 32 ,(2005) , 10.2202/1544-6115.1175