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Optimal asymptotic least squares estimation in a singular set-up

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  • Diez de los Rios, Antonio

Abstract

In this note, I extend the optimal asymptotic least squares estimation framework to deal with singularities in the asymptotic covariance of the distance function. Further, the relationship between the asymptotic least squares and maximum likelihood estimation frameworks in such a singular set-up is discussed.

Suggested Citation

  • Diez de los Rios, Antonio, 2015. "Optimal asymptotic least squares estimation in a singular set-up," Economics Letters, Elsevier, vol. 128(C), pages 83-86.
    • Handle: RePEc:eee:ecolet:v:128:y:2015:i:c:p:83-86
    DOI: 10.1016/j.econlet.2015.01.006
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    References listed on IDEAS

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    4. Kodde, D A & Palm, Franz C & Pfann, G A, 1990. "Asymptotic Least-Squares Estimation Efficiency Considerations and Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(3), pages 229-243, July-Sept.
    5. Antonio Diez de Los Rios, 2015. "A New Linear Estimator for Gaussian Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(2), pages 282-295, April.
    6. Gourieroux, Christian & Monfort, Alan & Renault, Eric, 1989. "Testing for Common Roots," Econometrica, Econometric Society, vol. 57(1), pages 171-185, January.
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    8. Martin Pesendorfer & Philipp Schmidt-Dengler, 2008. "Asymptotic Least Squares Estimators for Dynamic Games -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 901-928.
    9. Giovanni Barone Adesi & Patrick Gagliardini & Giovanni Urga, 2004. "Testing Asset Pricing Models With Coskewness," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 474-485, October.
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    Cited by:

    1. Mayer, Walter J. & Liu, Feng & Dang, Xin, 2017. "Improving the power of the Diebold–Mariano–West test for least squares predictions," International Journal of Forecasting, Elsevier, vol. 33(3), pages 618-626.
    2. Antonio Diez de los Rios, 2017. "Optimal Estimation of Multi-Country Gaussian Dynamic Term Structure Models Using Linear Regressions," Staff Working Papers 17-33, Bank of Canada.

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    More about this item

    Keywords

    Asymptotic optimality; Auxiliary parameters; Minimum distance estimation; Generalized inverse; Singular covariance matrix;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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