A new test for non-linear hypotheses under distributional and local parametric misspecification

Bera Anil K. (), Doğan Osman () and Taşpınar Süleyman ()
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Bera Anil K.: Department of Economics, University of Illinois at Urbana-Champaign, Urbana, IL, USA
Doğan Osman: Department of Economics, Istanbul Technical University, Istanbul, Türkiye
Taşpınar Süleyman: Department of Economics, Queens College, New York, Flushing, USA

Studies in Nonlinear Dynamics & Econometrics, 2023, vol. 27, issue 5, 669-685

Abstract: In this paper, we develop a new version of Rao’s score (RS) statistic for testing a non-linear hypothesis under both distributional and local parametric misspecification. Our suggested test statistic is constructed through a size correction approach so that it becomes robust to both types of misspecification. We establish the asymptotic properties of the robust test statistic and provide several examples to illustrate its implementation. We also investigate the finite sample properties of our test along with some other well-known tests through simulations. Our simulation results demonstrate that the new test statistic has good finite sample properties in terms of empirical size and power.

Keywords: distributional misspecification; LM test; parametric misspecification; QMLE; Rao’s score test; robust LM test (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1515/snde-2022-0043

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