TY - JOUR
T1 - Reproducing Kernel Hilbert space for penalized regression multi-predictors
T2 - Case in longitudinal data
AU - Rinaldo Fernandes, Adji Achmad
AU - Budiantara, I. Nyoman
AU - Otok, Bambang Widjanarko
AU - Suhartono,
N1 - Publisher Copyright:
© 2014 Adji Achmad Rinaldo Fernandes, I Nyoman Budiantara, Bambang Widjanarko Otok and Suhartono.
PY - 2014
Y1 - 2014
N2 - Penalized regression procedures have become a very popular approach to estimating the curve of nonparametric regression in longitudinal data. Reproducing Kernel Hilbert Space (RKHS) is Reproducing Kernel Hilbert Space (RKHS) play a central role in Penalized Regression as a form and estimator function of the model. The aim of this study are to solve the estimation of Penalized Regression using RKHS, and apply the Penalized Regresion using secondary dataset. The Penalized Regresssion using RKHS is. The estimation of with: The aplication of data results show that the spline estimator can be applied to the generation of data with m = 4 (cubic spline) which gives the value of R2of 97.77%.
AB - Penalized regression procedures have become a very popular approach to estimating the curve of nonparametric regression in longitudinal data. Reproducing Kernel Hilbert Space (RKHS) is Reproducing Kernel Hilbert Space (RKHS) play a central role in Penalized Regression as a form and estimator function of the model. The aim of this study are to solve the estimation of Penalized Regression using RKHS, and apply the Penalized Regresion using secondary dataset. The Penalized Regresssion using RKHS is. The estimation of with: The aplication of data results show that the spline estimator can be applied to the generation of data with m = 4 (cubic spline) which gives the value of R2of 97.77%.
KW - Longitudinal
KW - Multi-predictor
KW - Penalized regression
KW - RKHS
UR - http://www.scopus.com/inward/record.url?scp=84912017703&partnerID=8YFLogxK
U2 - 10.12988/ijma.2014.47212
DO - 10.12988/ijma.2014.47212
M3 - Article
AN - SCOPUS:84912017703
SN - 1312-8876
VL - 8
SP - 1951
EP - 1961
JO - International Journal of Mathematical Analysis
JF - International Journal of Mathematical Analysis
IS - 37-40
ER -