A nonparametric test of the non-convexity of regression

Cheikh A. T. Diack and Christine Thomas-Agnan

No 1998,43, SFB 373 Discussion Papers from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Abstract: 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.

Keywords: least squares estimator; test of convexity; B-splines; modulus of continuity (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (5)

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Related works:
Working Paper: A Nonparametric Test of The Non-Convexity of Regression (1996)
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:sfb373:199843

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