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Accurate and Robust Tests for Indirect Inference

Veronika Czellar () and Elvezio Ronchetti
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Veronika Czellar: GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique
Elvezio Ronchetti: Department of Econometrics - UNIGE - Université de Genève = University of Geneva

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Abstract: In this paper we propose accurate parameter and over-identification tests for indirect inference. Under the null hypothesis the new tests are asymptotically χ2-distributed with a relative error of order n−1. They exhibit better finite sample accuracy than classical tests for indirect inference, which have the same asymptotic distribution but an absolute error of order n−1/2. Robust versions of the tests are also provided. We illustrate their accuracy in nonlinear regression, Poisson regression with overdispersion and diffusion models.

Keywords: Indirect inference; M-estimator; Nonlinear regression; Overdispersion; Parameter test; Robust estimator; Saddlepoint test; Sparsity; Test for over-identification (search for similar items in EconPapers)
Date: 2010-09
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Citations: View citations in EconPapers (9)

Published in Biometrika, 2010, 97 (3), pp.621-630. ⟨10.1093/biomet/asq040⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00585938

DOI: 10.1093/biomet/asq040

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