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Diack, Cheikh A. T.
Thomas-Agnan, Christine
Year of Publication: 
Series/Report no.: 
SFB 373 Discussion Paper 1998,43
This paper proposes a nonparametric test of the non-convexity of a smooth regression function based on least squares or hybrid splines. By a simple formulation of the convexity hypothesis in the class of all polynomial cubic splines, we build a test which has an asymptotic size equal to the nominal level. It is shown that the test is consistent and is robust to nonnormality. The behavior of the test under the local alternatives is studied.
least squares estimator
test of convexity
modulus of continuity
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Document Type: 
Working Paper

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