IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v55y2011i7p2312-2323.html
   My bibliography  Save this article

Estimating the error variance after a pre-test for an interval restriction on the coefficients

Author

Listed:
  • Zhu, Rong
  • Zhou, Sherry Z.F.

Abstract

This paper considers the estimation of the error variance after a pre-test of an interval restriction on the coefficients. We derive the exact finite sample risks of the interval restricted and pre-test estimators of the error variance, and examine the risk properties of the estimators to model misspecification through the omission of relevant regressors. It is found that the pre-test estimator performs better than the interval restricted estimator in terms of the risk properties in a large region of the parameter space; moreover, its risk performance is more robust with respect to the degrees of model misspecification. Furthermore, we propose a bootstrap procedure for estimating the risks of the estimators, to overcome the difficulty of computing the exact risks.

Suggested Citation

  • Zhu, Rong & Zhou, Sherry Z.F., 2011. "Estimating the error variance after a pre-test for an interval restriction on the coefficients," Computational Statistics & Data Analysis, Elsevier, vol. 55(7), pages 2312-2323, July.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:7:p:2312-2323
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(11)00038-7
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Judge, George G. & Yancey, Thomas A., 1981. "Sampling properties of an inequality restricted estimator," Economics Letters, Elsevier, vol. 7(4), pages 327-333.
    2. Alan T.K. Wan & Guohua Zou & Kazuhiro Ohtani, 2006. "Further results on optimal critical values of pre-test when estimating the regression error variance," Econometrics Journal, Royal Economic Society, vol. 9(1), pages 159-176, March.
    3. Wan, Alan T. K. & Zou, Guohua, 2003. "Optimal critical values of pre-tests when estimating the regression error variance: analytical findings under a general loss structure," Journal of Econometrics, Elsevier, vol. 114(1), pages 165-196, May.
    4. Ohtani, Kazuhiro, 1988. "Optimal levels of significance of a pre-test in estimating the disturbance variance after the pre-test for a linear hypothesis on coefficients in a linear regression," Economics Letters, Elsevier, vol. 28(2), pages 151-156.
    5. Clarke, Judith A. & Giles, David E. A. & Wallace, T. Dudley, 1987. "Preliminary-Test Estimation of the Error Variance in Linear Regression," Econometric Theory, Cambridge University Press, vol. 3(02), pages 299-304, April.
    6. Wan, Alan T. K., 1994. "Risk comparison of the inequality constrained least squares and other related estimators under balanced loss," Economics Letters, Elsevier, vol. 46(3), pages 203-210, November.
    7. Ohtani, Kazuhiro, 1987. "The MSE of the least squares estimator over an interval constraint," Economics Letters, Elsevier, vol. 25(4), pages 351-354.
    8. Clarke, Judith A. & Giles, David E. A. & Wallace, T. Dudley, 1987. "Estimating the error variance in regression after a preliminary test of restrictions on the coefficients," Journal of Econometrics, Elsevier, vol. 34(3), pages 293-304, March.
    9. Escobar, Luis A. & Skarpness, Bradley, 1986. "The bias of the least squares estimator over interval constraints," Economics Letters, Elsevier, vol. 20(4), pages 331-335.
    10. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hu, Guikai & Yu, Shenghua & Luo, Han, 2015. "Comparisons of variance estimators in a misspecified linear model with elliptically contoured errors," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 266-276.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wan, Alan T. K. & Zou, Guohua, 2003. "Optimal critical values of pre-tests when estimating the regression error variance: analytical findings under a general loss structure," Journal of Econometrics, Elsevier, vol. 114(1), pages 165-196, May.
    2. Xinyu Zhang & Alan T. K. Wan & Sherry Z. Zhou, 2011. "Focused Information Criteria, Model Selection, and Model Averaging in a Tobit Model With a Nonzero Threshold," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 132-142, June.
    3. Adrian C. Darnell, 1994. "A Dictionary Of Econometrics," Books, Edward Elgar Publishing, number 118.
    4. Kazuhiro Ohtani & Alan Wan, 2002. "ON THE USE OF THE STEIN VARIANCE ESTIMATOR IN THE DOUBLE k-CLASS ESTIMATOR IN REGRESSION," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 121-134.
    5. Ohtani, Kazuhiro, 2002. "Exact distribution of a pre-test estimator for regression error variance when there are omitted variables," Statistics & Probability Letters, Elsevier, vol. 60(2), pages 129-140, November.
    6. Qin, Huaizhen & Ouyang, Weiwei, 2016. "Asymmetric risk of the Stein variance estimator under a misspecified linear regression model," Statistics & Probability Letters, Elsevier, vol. 116(C), pages 94-100.
    7. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    8. Nakashima, Kiyotaka & Ogawa, Toshiaki, 2020. "The Impacts of Strengthening Regulatory Surveillance on Bank Behavior: A Dynamic Analysis from Incomplete to Complete Enforcement of Capital Regulation in Microprudential Policy," MPRA Paper 99938, University Library of Munich, Germany.
    9. Król, Michał, 2012. "Product differentiation decisions under ambiguous consumer demand and pessimistic expectations," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 593-604.
    10. G. Sujatha, 2018. "‘Is It Family or Politics?’ Reflections on Gender and the Modern Tamil Subjectivity Constitution in the Discourse of C. N. Annadurai," Studies in Indian Politics, , vol. 6(2), pages 267-281, December.
    11. repec:dgr:rugsom:04a27 is not listed on IDEAS
    12. Alhassan, Mustapha & Gustafson, Christopher R. & Schoengold, Karina, 2017. "Effects of Information Framing on Smallholder Irrigation Farmers’ Willingness to Pay for Groundwater Protection: The Case of Vea Irrigation Scheme in Ghana," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258432, Agricultural and Applied Economics Association.
    13. Sergio Sousa, 2010. "Small-scale changes in wealth and attitudes toward risk," Discussion Papers 2010-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    14. Laczó, Sarolta & Rossi, Raffaele, 2020. "Time-consistent consumption taxation," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 194-220.
    15. Pratap, Sangeeta & Urrutia, Carlos, 2004. "Firm dynamics, investment and debt portfolio: balance sheet effects of the Mexican crisis of 1994," Journal of Development Economics, Elsevier, vol. 75(2), pages 535-563, December.
    16. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    17. Alain Egli, 2005. "Hotelling's Beach with Linear and Quadratic Transportation Costs: Existence of Pure Strategy Equilibria," Diskussionsschriften dp0509, Universitaet Bern, Departement Volkswirtschaft.
    18. T.R.L. Fry & R.D. Brooks & Br. Comley & J. Zhang, 1993. "Economic Motivations for Limited Dependent and Qualitative Variable Models," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 193-205, June.
    19. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2013. "On Stabilization Policy in Sunspot-Driven Oligopolistic Economies," AMSE Working Papers 1337, Aix-Marseille School of Economics, France, revised 30 Jun 2013.
    20. Diego Esparza & Jessica Lucas & Enrique Martinez & James Meernik & Ignacio Molinero & Victoria Nevarez, 2020. "Movement of the people: Violence and internal displacement," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 23(3), pages 233-250, September.
    21. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:55:y:2011:i:7:p:2312-2323. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.