Title
Empirical likelihood based inference for generalized additive partial linear models.
Abstract
Empirical-likelihood based inference for the parameters in generalized additive partial linear models (GAPLM) is investigated. With the use of the polynomial spline smoothing for estimation of nonparametric functions, an estimated empirical likelihood ratio statistic based on the quasi-likelihood equation is proposed. We show that the resulting statistic is asymptotically standard chi-squared distributed and the confidence regions for the parametric components are constructed. Some simulations are conducted to illustrate the proposed methods.
Year
DOI
Venue
2018
10.1016/j.amc.2018.06.050
Applied Mathematics and Computation
Keywords
Field
DocType
Generalized Additive partial linear models,Empirical likelihood,Quasi-likelihood equation,χ2 distribution,Confidence region
Confidence region,Applied mathematics,Mathematical optimization,Statistic,Polynomial,Linear model,Inference,Empirical likelihood,Nonparametric statistics,Parametric statistics,Mathematics
Journal
Volume
ISSN
Citations 
339
0096-3003
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Zhuoxi Yu101.69
kai yang211630.39
Milan Parmar311.71