Marginal Integration: The Reception of Refugee-Background Students in Australian Schools

2013 ◽  
pp. 208-222
Keyword(s):  
Marginal Integration

scholarly journals NONPARAMETRIC ESTIMATION AND TESTING OF INTERACTION IN ADDITIVE MODELS

2002 ◽  
Vol 18 (2) ◽  
pp. 197-251 ◽  
Author(s):  
Stefan Sperlich ◽  
Dag Tjøstheim ◽  
Lijian Yang
Keyword(s):  
Production Function ◽  
Test Procedure ◽  
Additive Model ◽  
Asymptotic Distributions ◽  
Additive Models ◽  
Local Power ◽  
Test Statistics ◽  
Interaction Terms ◽  
General Test ◽  
Marginal Integration

We consider an additive model with second-order interaction terms. Both marginal integration estimators and a combined backfitting-integration estimator are proposed for all components of the model and their derivatives. The corresponding asymptotic distributions are derived. Moreover, two test statistics for testing the presence of interactions are proposed. Asymptotics for the test functions and local power results are obtained. Because direct implementation of the test procedure based on the asymptotics would produce inaccurate results unless the number of observations is very large, a bootstrap procedure is provided, which is applicable for small or moderate sample sizes. Further, based on these methods a general test for additivity is developed. Estimation and testing methods are shown to work well in simulation studies. Finally, our methods are illustrated on a five-dimensional production function for a set of Wisconsin farm data. In particular, the separability hypothesis for the production function is discussed.

scholarly journals Marginal integration for nonparametric causal inference

2015 ◽  
Vol 9 (2) ◽  
pp. 3155-3194 ◽  
Author(s):  
Jan Ernest ◽  
Peter Bühlmann
Keyword(s):  
Causal Inference ◽  
Marginal Integration

scholarly journals Marginal integration M-estimators for additive models

Test ◽  
2016 ◽  
Vol 26 (2) ◽  
pp. 231-260 ◽  
Author(s):  
Graciela Boente ◽  
Alejandra Martínez
Keyword(s):  
Additive Models ◽  
Marginal Integration

An efficient marginal integration estimator of a semiparametric additive modelling

2004 ◽  
Vol 69 (4) ◽  
pp. 451-463 ◽  
Author(s):  
Ignacio Moral ◽  
Juan M. Rodriguez-Poo
Keyword(s):  
Marginal Integration
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