TY - GEN
T1 - Bootstrap inference longitudinal semiparametric regression model
AU - Pane, Rahmawati
AU - Otok, Bambang Widjanarko
AU - Zain, Ismaini
AU - Budiantara, I. Nyoman
N1 - Publisher Copyright:
© 2016 AIP Publishing LLC.
PY - 2016/2/11
Y1 - 2016/2/11
N2 - Semiparametric regression contains two components, i.e. parametric and nonparametric component. Semiparametric regression model is represented by {equation presented} and yti is response variable. It is assumed to have a linear relationship with the predictor variables {equation presented}. Random error εti, i = 1, ..., n, t = 1, ..., T is normally distributed with zero mean and variance σ2 and g(zti) is a nonparametric component. The results of this study showed that the PLS approach on longitudinal semiparametric regression models obtain estimators {equation presented}and {equation presented}. The result also show that bootstrap was valid on longitudinal semiparametric regression model with {equation presented} as nonparametric component estimator.
AB - Semiparametric regression contains two components, i.e. parametric and nonparametric component. Semiparametric regression model is represented by {equation presented} and yti is response variable. It is assumed to have a linear relationship with the predictor variables {equation presented}. Random error εti, i = 1, ..., n, t = 1, ..., T is normally distributed with zero mean and variance σ2 and g(zti) is a nonparametric component. The results of this study showed that the PLS approach on longitudinal semiparametric regression models obtain estimators {equation presented}and {equation presented}. The result also show that bootstrap was valid on longitudinal semiparametric regression model with {equation presented} as nonparametric component estimator.
KW - bootstrap
KW - longitudinal semiparametric regression
KW - nonparametric component
KW - semiparametric regression
UR - http://www.scopus.com/inward/record.url?scp=84984552586&partnerID=8YFLogxK
U2 - 10.1063/1.4940867
DO - 10.1063/1.4940867
M3 - Conference contribution
AN - SCOPUS:84984552586
T3 - AIP Conference Proceedings
BT - Proceedings of the 7th SEAMS UGM International Conference on Mathematics and Its Applications 2015
A2 - Susanti, Yeni
A2 - Wijayanti, Indah Emilia
A2 - Kusumo, Fajar Adi
A2 - Aluicius, Irwan Endrayanto
PB - American Institute of Physics Inc.
T2 - 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research
Y2 - 18 August 2015 through 21 August 2015
ER -