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Generalized Moment Based Estimation and Inference

Author

Listed:
  • George Judge

    (University of California)

  • Marco Van_Akkeren

    (University of California)

Abstract

We extend the empirical likelihood method of estimation and inference proposed by Owen and others and demonstrate how it may be used in a general linear model context and to mitigate the impact of an ill-conditioned design matrix. A dual loss information theoretic estimating function is used along with extended moment conditions to yield a data based estimator that has the usual consistency and asymptotic normality results. Limiting chi-square distributions may be used to obtain hypothesis test or confidence intervals. The estimator appears to have excellent finite sample properties under a squared error loss measure.

Suggested Citation

  • George Judge & Marco Van_Akkeren, 2000. "Generalized Moment Based Estimation and Inference," Econometric Society World Congress 2000 Contributed Papers 0073, Econometric Society.
    • Handle: RePEc:ecm:wc2000:0073
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    References listed on IDEAS

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    1. Dey, Dipak K. & Ghosh, Malay & Strawderman, William E., 1999. "On estimation with balanced loss functions," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 97-101, November.
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    6. Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245, Elsevier.
    7. Yuichi Kitamura & Michael Stutzer, 1997. "An Information-Theoretic Alternative to Generalized Method of Moments Estimation," Econometrica, Econometric Society, vol. 65(4), pages 861-874, July.
    8. White, Halbert, 1983. "Corrigendum [Maximum Likelihood Estimation of Misspecified Models]," Econometrica, Econometric Society, vol. 51(2), pages 513-513, March.
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    3. Alexandre Gohin & Fabienne Féménia, 2009. "Estimating Price Elasticities of Food Trade Functions: How Relevant is the CES‐based Gravity Approach?," Journal of Agricultural Economics, Wiley Blackwell, vol. 60(2), pages 253-272, June.
    4. Femenia, Fabienne & Gohin, Alexandre, 2007. "Estimating censored and non homothetic demand systems: the generalized maximum entropy approach," Conference papers 331575, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.

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