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Generalized Bayes Estimator for Spatial Durbin Model

Author

Listed:
  • Anoop Chaturvedi

    (University of Allahabad)

  • Shalabh

    (Indian Institute of Technology Kanpur)

  • Sandeep Mishra

    (University of Delhi)

Abstract

This paper considers the spatial Durbin model and derives generalized Bayes estimator for the regression parameters vector. The minimaxity of the estimator has been established. The simulation study shows that the proposed generalized Bayes estimator has uniformly improved risk properties than the usual OLS estimator.

Suggested Citation

  • Anoop Chaturvedi & Shalabh & Sandeep Mishra, 2021. "Generalized Bayes Estimator for Spatial Durbin Model," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(1), pages 267-285, December.
    • Handle: RePEc:spr:jqecon:v:19:y:2021:i:1:d:10.1007_s40953-021-00271-x
    DOI: 10.1007/s40953-021-00271-x
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    References listed on IDEAS

    as
    1. Chaturvedi Anoop & Mishra Sandeep, 2019. "Generalized Bayes Estimation Of Spatial Autoregressive Models," Statistics in Transition New Series, Polish Statistical Association, vol. 20(2), pages 15-32, June.
    2. Han, Xiaoyi & Lee, Lung-fei, 2013. "Bayesian estimation and model selection for spatial Durbin error model with finite distributed lags," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 816-837.
    3. Baltagi, Badi H. & Bresson, Georges & Chaturvedi, Anoop & Lacroix, Guy, 2018. "Robust linear static panel data models using ε-contamination," Journal of Econometrics, Elsevier, vol. 202(1), pages 108-123.
    4. Seya, Hajime & Tsutsumi, Morito & Yamagata, Yoshiki, 2012. "Income convergence in Japan: A Bayesian spatial Durbin model approach," Economic Modelling, Elsevier, vol. 29(1), pages 60-71.
    5. Luc Anselin & Raymond J. G. M. Florax, 1995. "Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 2, pages 21-74, Springer.
    6. Anselin, Luc & Bera, Anil K. & Florax, Raymond & Yoon, Mann J., 1996. "Simple diagnostic tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 26(1), pages 77-104, February.
    7. Maruyama, Yuzo, 1998. "A Unified and Broadened Class of Admissible Minimax Estimators of a Multivariate Normal Mean," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 196-205, February.
    8. Pal, Amresh Bahadur & Dubey, Ashutosh Kumar & Chaturvedi, Anoop, 2016. "Shrinkage estimation in spatial autoregressive model," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 362-373.
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    Cited by:

    1. Yong Bao & Aman Ullah, 2021. "The Special Issue in Honor of Anirudh Lal Nagar: An Introduction," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(1), pages 1-8, December.

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    More about this item

    Keywords

    Spatial econometric models; Spatial Durbin model; Generalized Bayes estimator; Minimaxity; Gauss hypergeometric function;
    All these keywords.

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General

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