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Model Selection Tests for Conditional Moment Inequality Models

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Abstract

In this paper, we propose a Vuong (1989)-type model selection test for conditional moment inequality models. The test uses a new average generalized empirical likelihood (AGEL) criterion function designed to incorporate full restriction of the conditional model. We also introduce a new adjustment to the test statistic making it asymptotically pivotal whether the candidate models are nested or nonnested. The test uses simple standard normal critical value and is shown to be asymptotically similar, to be consistent against all fixed alternatives and to have nontrivial power against n-1/2-local alternatives. Monte Carlo simulations demonstrate that the finite sample performance of the test is in accordance with the theoretical prediction.

Suggested Citation

  • Yu-Chin Hsu & Xiaoxia Shi, 2013. "Model Selection Tests for Conditional Moment Inequality Models," IEAS Working Paper : academic research 13-A004, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  • Handle: RePEc:sin:wpaper:13-a004
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    File URL: http://www.econ.sinica.edu.tw/UpFiles/2013092817175327692/Seminar_PDF2013093010102890633/13-A004(all).pdf
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    Cited by:

    1. Shi, Xiaoxia, 2015. "Model selection tests for moment inequality models," Journal of Econometrics, Elsevier, vol. 187(1), pages 1-17.

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    Keywords

    Asymptotic size; Model selection test; Conditional moment inequalities; Partial identi- cation; Generalized empirical likelihood;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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