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Testing overidentifying restrictions with a restricted parameter space

Philipp Ketz

Economics Letters, 2019, vol. 185, issue C

Abstract: We show that the standard test for testing overidentifying restrictions, which compares the J-statistic (Hansen, 1982) to χ2 critical values, does not control asymptotic size when the true parameter vector is allowed to lie on the boundary of the (optimization) parameter space. We also propose a modified J-statistic that, under the null hypothesis, is asymptotically χ2 distributed, such that the resulting test does control asymptotic size.

Keywords: Asymptotic size; Boundary; Overidentifying restrictions (search for similar items in EconPapers)
JEL-codes: C12 C52 (search for similar items in EconPapers)
Date: 2019
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Working Paper: Testing overidentifying restrictions with a restricted parameter space (2019)
Working Paper: Testing overidentifying restrictions with a restricted parameter space (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:185:y:2019:i:c:s0165176519303738

DOI: 10.1016/j.econlet.2019.108743

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