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The Stochastic Difference between Econometric Statistics

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Author Info
Robinson, Peter M

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Abstract

In a somewhat general context, the author calculate s the order in probability of the difference between consistent roots of rival estimating equations, with application to point estimates i n parametric and nonparametric models, interval estimates, and test s tatistics. Differences in the statistical performances of various com monly-used iterative procedures are detected. He discusses implicatio ns of his results for higher-order efficiency comparisons and for mat ching the first-order efficiency of an implicitly defined target stat istic in finitely-many iterative steps. He justifies estimates obtain ed via a search of the objective function. His results are applied to the linear-in-variables simultaneous equations system. Copyright 1988 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 56 (1988)
Issue (Month): 3 (May)
Pages: 531-48
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Handle: RePEc:ecm:emetrp:v:56:y:1988:i:3:p:531-48

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  1. Whitney Newey & Richard Smith, 2003. "Higher order properties of GMM and generalised empirical likelihood estimators," CeMMAP working papers CWP04/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  2. D Marinucci & Peter M Robinson, 2001. "Semiparametric Fractional Cointegration Analysis," STICERD - Econometrics Paper Series /2001/420, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  3. Hiroyuki Kasahara & Katsumi Shimotsu, 2006. "Nested Pseudo-likelihood Estimation and Bootstrap-based Inference for Structural Discrete Markov Decision Models," UWO Department of Economics Working Papers 20064, University of Western Ontario, Department of Economics. [Downloadable!]
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  4. Peter Robinson, 2006. "Efficient estimation of the semiparametric spatial autoregressive model," CeMMAP working papers CWP08/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  5. Oliver B. Linton & Enno Mammen & J. Nielsen & Carsten Tanggaard, 2000. "Yield Curve Estimation by Kernel Smoothing Methods," Econometric Society World Congress 2000 Contributed Papers 0235, Econometric Society. [Downloadable!]
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  6. Peter M Robinson & J Vidal Sanz, 2005. "Modified Whittle Estimation of Multilateral Models on a Lattice," STICERD - Econometrics Paper Series /2005/492, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  7. Jeffrey M. Wooldridge, 2004. "Estimating average partial effects under conditional moment independence assumptions," CeMMAP working papers CWP03/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  8. Katsumi Shimotsu, 2006. "Exact Local Whittle Estimation of Fractional Integration with Unknown Mean and Time Trend," Working Papers 1061, Queen's University, Department of Economics. [Downloadable!]
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  9. Oliver Linton, 1993. "Second Order Approximation in the Partially Linear Regression Model," Cowles Foundation Discussion Papers 1065, Cowles Foundation, Yale University. [Downloadable!]
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  10. Oliver Linton, 1997. "Second-Order Approximation for Semiparametric Instrumental Variable Estimators and Test Statistics," Cowles Foundation Discussion Papers 1151, Cowles Foundation, Yale University. [Downloadable!]
  11. Javier Hidalgo & Peter M Robinson, 2001. "Adapting to Unknown Disturbance Autocorrelation in Regression with Long Memory," STICERD - Econometrics Paper Series /2001/427, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  12. Donald W.K. Andrews, 2000. "Equivalence of the Higher-order Asymptotic Efficiency of k-step and Extremum Statistics," Cowles Foundation Discussion Papers 1269, Cowles Foundation, Yale University. [Downloadable!]
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  13. Hélène Bonnal & Éric Renault, 2004. "On the Efficient Use of the Informational Content of Estimating Equations: Implied Probabilities and Euclidean Empirical Likelihood," CIRANO Working Papers 2004s-18, CIRANO. [Downloadable!]
  14. M. Dolores de Prada & Luis M. Borge, 1997. "Some methods for comparing first-order asymptotically equivalent estimators," Investigaciones Economicas, Fundación SEPI, vol. 21(3), pages 473-500, September. [Downloadable!]
  15. Donald W.K. Andrews, 1996. "A Stopping Rule for the Computation of Generalized Method of Moments Estimators," Cowles Foundation Discussion Papers 1120, Cowles Foundation, Yale University. [Downloadable!]
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  16. Oliver Linton, 2000. "Edgeworth Approximations for Semiparametric Instrumental Variable Estimators and Test Statistics," STICERD - Econometrics Paper Series /2000/399, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  17. Peter Robinson & J. Vidal Sanz, 2003. "Modified whittle estimation of multilateral spatial models," CeMMAP working papers CWP18/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  18. Alain Guay & Florian Pelgrin, 2007. "Using Implied Probabilities to Improve Estimation with Unconditional Moment Restrictions," Cahiers de recherche 0747, CIRPEE. [Downloadable!]
  19. Douglas J Hodgson & Oliver Linton & Keith Vorkink, 2000. "Testing the Capital Asset Pricing Model Efficiently under Elliptical Symmetry: A Semiparametric Approach," STICERD - Econometrics Paper Series /2000/398, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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