TY - JOUR
T1 - Reproducing Kernel Hilbert space and penalized weighted least square in nonparametric regression
AU - Suhartono
AU - Fernandes, Adji Achmad Rinaldo
AU - Budiantara, I. Nyoman
AU - Otok, Bambang Widjanarko
N1 - Publisher Copyright:
© 2014 Adji Achmad Rinaldo Fernandes, I Nyoman Budiantara, Bambang Widjanarko Otok and Suhartono. © 2014 Adji Achmad Rinaldo Fernandes.
PY - 2014
Y1 - 2014
N2 - Reproducing Kernel Hilbert Space (RKHS) play a central role to solve the Penalized Weighted Least Square (PWLS) in Spline Estimator of nonparametric regression analysis. The purposes of this research is to obtain the RKHS approach in PWLS to solve the estimator of regression curve. Base of RKHS, the curve nonparametric regression form is f (x) = Td + Vc. Solving the weighted of PLWS coming from variance-covariance Ŵ is equals to solving the Σ11.1,Σ11.2,..Σ22.r,...Σ12.11,...Σ12.rr.For
AB - Reproducing Kernel Hilbert Space (RKHS) play a central role to solve the Penalized Weighted Least Square (PWLS) in Spline Estimator of nonparametric regression analysis. The purposes of this research is to obtain the RKHS approach in PWLS to solve the estimator of regression curve. Base of RKHS, the curve nonparametric regression form is f (x) = Td + Vc. Solving the weighted of PLWS coming from variance-covariance Ŵ is equals to solving the Σ11.1,Σ11.2,..Σ22.r,...Σ12.11,...Σ12.rr.For
KW - Hilbert space
KW - PWLS
KW - Reproducing Kernel
UR - http://www.scopus.com/inward/record.url?scp=84918536345&partnerID=8YFLogxK
U2 - 10.12988/ams.2014.49759
DO - 10.12988/ams.2014.49759
M3 - Article
AN - SCOPUS:84918536345
SN - 1312-885X
VL - 8
SP - 7289
EP - 7300
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
IS - 145-148
ER -