IDEAS home Printed from https://ideas.repec.org/a/eee/econom/v157y2010i2p359-361.html
   My bibliography  Save this article

The LIML estimator has finite moments!

Author

Listed:
  • Anderson, T.W.

Abstract

The Limited Information Maximum Likelihood estimator of the vector of coefficients of a structural equation in a simultaneous equation model is the vector that defines the linear combination maximizing the effect variance relative to the error variance. If this "eigenvector" solution is normalized by setting a designated coefficient equal to 1, the second-order moment of the estimator may be unbounded. However, the second-order moment is finite if the normalization sets the sample error variance of the linear combination equal to 1.

Suggested Citation

  • Anderson, T.W., 2010. "The LIML estimator has finite moments!," Journal of Econometrics, Elsevier, vol. 157(2), pages 359-361, August.
    • Handle: RePEc:eee:econom:v:157:y:2010:i:2:p:359-361
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4076(10)00080-1
    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. Fuller, Wayne A, 1977. "Some Properties of a Modification of the Limited Information Estimator," Econometrica, Econometric Society, vol. 45(4), pages 939-953, May.
    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. Carrasco, Marine & Tchuente, Guy, 2015. "Regularized LIML for many instruments," Journal of Econometrics, Elsevier, vol. 186(2), pages 427-442.
    2. Eric Blankmeyer, 2020. "NISE Estimation of an Economic Model of Crime," Papers 2003.07860, arXiv.org.
    3. Gareth Liu-Evans & Garry DA Phillips, 2023. "The Bias of the Modified Limited Information Maximum Likelihood Estimator (MLIML) in Static Simultaneous Equation Models," Working Papers 202303, University of Liverpool, Department of Economics.
    4. Jerome R. Simons, 2023. "Inference on eigenvectors of non-symmetric matrices," Papers 2303.18233, arXiv.org, revised Apr 2023.
    5. Blankmeyer, Eric, 2021. "Explorations in NISE Estimation," MPRA Paper 108179, University Library of Munich, Germany.
    6. Phillips, Garry D.A. & Liu-Evans, Gareth, 2016. "Approximating and reducing bias in 2SLS estimation of dynamic simultaneous equation models," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 734-762.

    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. Tae Ho Eom & William Duncombe & Phuong Nguyen-Hoang & John Yinger, 2014. "The Unintended Consequences of Property Tax Relief: New York’s STAR Program," Education Finance and Policy, MIT Press, vol. 9(4), pages 446-480, October.
    2. Frölich, Markus & Lechner, Michael, 2010. "Exploiting Regional Treatment Intensity for the Evaluation of Labor Market Policies," Journal of the American Statistical Association, American Statistical Association, vol. 105(491), pages 1014-1029.
    3. Hanley, Nick & Tinch, Dugald & Angelopoulos, Konstantinos & Davies, Althea & Barbier, Edward B. & Watson, Fiona, 2009. "What drives long-run biodiversity change? New insights from combining economics, palaeoecology and environmental history," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 5-20, January.
    4. Markus Brückner & Antonio Ciccone, 2011. "Rain and the Democratic Window of Opportunity," Econometrica, Econometric Society, vol. 79(3), pages 923-947, May.
    5. A. Belloni & D. Chen & V. Chernozhukov & C. Hansen, 2012. "Sparse Models and Methods for Optimal Instruments With an Application to Eminent Domain," Econometrica, Econometric Society, vol. 80(6), pages 2369-2429, November.
    6. Antonio Ciccone & Giovanni Peri, 2005. "Long-Run Substitutability Between More and Less Educated Workers: Evidence from U.S. States, 1950-1990," The Review of Economics and Statistics, MIT Press, vol. 87(4), pages 652-663, November.
    7. Phillips, Peter C B, 1985. "The Exact Distribution of LIML: II," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 21-36, February.
    8. Burke, Paul J. & Yang, Hewen, 2016. "The price and income elasticities of natural gas demand: International evidence," Energy Economics, Elsevier, vol. 59(C), pages 466-474.
    9. Hausman, Jerry & Lewis, Randall & Menzel, Konrad & Newey, Whitney, 2011. "Properties of the CUE estimator and a modification with moments," Journal of Econometrics, Elsevier, vol. 165(1), pages 45-57.
    10. Michal Kolesár, 2013. "Estimation in an Instrumental Variables Model With Treatment Effect Heterogeneity," Working Papers 2013-2, Princeton University. Economics Department..
    11. Orazio Attanasio & Peter Levell & Hamish Low & Virginia Sánchez-Marcos, 2015. "Aggregating Elasticities: Intensive and Extensive Margins of Female Labour Supply," NBER Working Papers 21315, National Bureau of Economic Research, Inc.
    12. Russell Davidson & James G. MacKinnon, 2006. "The case against JIVE," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 827-833, September.
    13. Matsushita, Yukitoshi & Otsu, Taisuke, 2022. "A jackknife Lagrange multiplier test with many weak instruments," LSE Research Online Documents on Economics 116392, London School of Economics and Political Science, LSE Library.
    14. Altinok, Nadir & Aydemir, Abdurrahman, 2017. "Does one size fit all? The impact of cognitive skills on economic growth," Journal of Macroeconomics, Elsevier, vol. 53(C), pages 176-190.
    15. Michael P. Murray, 2006. "Avoiding Invalid Instruments and Coping with Weak Instruments," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 111-132, Fall.
    16. Wenjie Wang & Yichong Zhang, 2021. "Wild Bootstrap for Instrumental Variables Regressions with Weak and Few Clusters," Papers 2108.13707, arXiv.org, revised Jan 2024.
    17. Roberto Ricciuti & Antonio Savoia & Kunal Sen, 2019. "What determines administrative capacity in developing countries?," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 26(5), pages 972-998, October.
    18. Mikko Hänninen & Anssi Smedlund, 2021. "Same Old Song with a Different Melody: The Paradox of Market Reach and Financial Performance on Digital Platforms," Journal of Management Studies, Wiley Blackwell, vol. 58(7), pages 1832-1868, November.
    19. Michael Keane & Timothy Neal, 2021. "A Practical Guide to Weak Instruments," Discussion Papers 2021-05b, School of Economics, The University of New South Wales.
    20. Russell Davidson & James G. MacKinnon, 2015. "Bootstrap Tests for Overidentification in Linear Regression Models," Econometrics, MDPI, vol. 3(4), pages 1-39, December.

    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:econom:v:157:y:2010:i:2:p:359-361. 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/jeconom .

    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.