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Empirical Likelihood Block Bootstrapping

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  • Jason Allen
  • Allan W. Gregory
  • Katsumi Shimotsu

Abstract

Monte Carlo evidence has made it clear that asymptotic tests based on generalized method of moments (GMM) estimation have disappointing size. The problem is exacerbated when the moment conditions are serially correlated. Several block bootstrap techniques have been proposed to correct the problem, including Hall and Horowitz (1996) and Inoue and Shintani (2006). We propose an empirical likelihood block bootstrap procedure to improve inference where models are characterized by nonlinear moment conditions that are serially correlated of possibly infinite order. Combining the ideas of Kitamura (1997) and Brown and Newey (2002), the parameters of a model are initially estimated by GMM which are then used to compute the empirical likelihood probability weights of the blocks of moment conditions. The probability weights serve as the multinomial distribution used in resampling. The first-order asymptotic validity of the proposed procedure is proven, and a series of Monte Carlo experiments show it may improve test sizes over conventional block bootstrapping.

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Bibliographic Info

Paper provided by Bank of Canada in its series Working Papers with number 08-18.

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Length: 36 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:bca:bocawp:08-18

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Keywords: Econometric and statistical methods;

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References

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Citations

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Cited by:
  1. Lorenzo Camponovo & Taisuke Otsu, 2011. "Robustness of Bootstrap in Instrumental Variable Regression," Cowles Foundation Discussion Papers 1796, Cowles Foundation for Research in Economics, Yale University.
  2. Seojeong Lee, 2014. "Asymptotic Refinements of a Misspecification-Robust Bootstrap for GEL Estimators," Discussion Papers 2014-02, School of Economics, The University of New South Wales.
  3. Franke, Reiner, 2013. "Competitive Moment Matching of a New-Keynesian and an Old-Keynesian Model," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79988, Verein für Socialpolitik / German Economic Association.
  4. Bravo, Francesco & Crudu, Federico, 2012. "Efficient bootstrap with weakly dependent processes," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3444-3458.

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