Estimation and test of linearity for a class of additive nonlinear models
This paper deals with the estimation and the test for linearity of models belonging to a class of additive nonlinear ones. We prove the joint asymptotic normality for a kernel estimator and provide a test for linearity of each function defining the model.
Year of publication: |
1998
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Authors: | Chèze-Payaud, Nathalie ; Poggi, Jean-Michel ; Portier, Bruno |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 40.1998, 2, p. 189-201
|
Publisher: |
Elsevier |
Keywords: | Nonlinear additive models Test for linearity Kernel estimates |
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