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 -