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Shrinkage estimation in spatial autoregressive model

Author

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  • Pal, Amresh Bahadur
  • Dubey, Ashutosh Kumar
  • Chaturvedi, Anoop

Abstract

The paper considers spatial econometric model and presents a family of shrinkage estimators for the regression coefficients vector. The asymptotic distribution of the proposed family of estimators has been derived under the assumption that sample size is large. The risk properties of least squares estimator and proposed improved family of estimators have been investigated under quadratic loss function and dominance conditions have been obtained. For investigating the finite sample behavior of various estimators belonging to proposed family of shrinkage estimators, a simulation study has been carried out and results have been presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jmvana:v:143:y:2016:i:c:p:362-373
    DOI: 10.1016/j.jmva.2015.09.011
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    References listed on IDEAS

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    1. Ullah, Aman & Ullah, Shobha, 1978. "Double k-Class Estimators of Coefficients in Linear Regression," Econometrica, Econometric Society, vol. 46(3), pages 705-722, May.
    2. Wan, Alan T. K. & Chaturvedi, Anoop, 2001. "Double k-Class Estimators in Regression Models with Non-spherical Disturbances," Journal of Multivariate Analysis, Elsevier, vol. 79(2), pages 226-250, November.
    3. Alan Wan & Anoop Chaturvedi, 2000. "Operational Variants of the Minimum Mean Squared Error Estimator in Linear Regression Models with Non-Spherical Disturbances," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(2), pages 332-342, June.
    4. Carter, R. A. L. & Srivastava, V. K. & Chaturvedi, A., 1993. "Selecting a double k-class estimator for regression coefficients," Statistics & Probability Letters, Elsevier, vol. 18(5), pages 363-371, December.
    5. Chaturvedi, Anoop & Shalabh, 2004. "Risk and Pitman closeness properties of feasible generalized double k-class estimators in linear regression models with non-spherical disturbances under balanced loss function," Journal of Multivariate Analysis, Elsevier, vol. 90(2), pages 229-256, August.
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    Cited by:

    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. Fang Lu & Jing Yang & Xuewen Lu, 2022. "One-step oracle procedure for semi-parametric spatial autoregressive model and its empirical application to Boston housing price data," Empirical Economics, Springer, vol. 62(6), pages 2645-2671, June.
    3. 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.

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