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2014 Integral Least-Squares Inferences for Semiparametric Models with Functional Data
Limian Zhao, Peixin Zhao
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/632039

Abstract

The inferences for semiparametric models with functional data are investigated. We propose an integral least-squares technique for estimating the parametric components, and the asymptotic normality of the resulting integral least-squares estimator is studied. For the nonparametric components, a local integral least-squares estimation method is proposed, and the asymptotic normality of the resulting estimator is also established. Based on these results, the confidence intervals for the parametric component and the nonparametric component are constructed. At last, some simulation studies and a real data analysis are undertaken to assess the finite sample performance of the proposed estimation method.

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Limian Zhao. Peixin Zhao. "Integral Least-Squares Inferences for Semiparametric Models with Functional Data." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/632039

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131754
MathSciNet: MR3232924
Digital Object Identifier: 10.1155/2014/632039

Rights: Copyright © 2014 Hindawi

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