(This abstract was borrowed from another version of this item.)"> (This abstract was borrowed from another version of this item.)">
[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/fip/fedhma/94-8.html
   My bibliography  Save this paper

Small sample bias in GMM estimation of covariance structures

Author

Listed:
  • Joseph Altonji
  • Lewis M. Segal
Abstract
We examine the small sample properties of the GMM estimator for models of covariance structures, where the technique is often referred to as the optimal minimum distance (OMD) estimator. We present a variety of Monte Carlo experiments based on simulated data and on the data used by Abowd and Card (1987, 1990) in an examination of the covariance structure of hours and earnings changes. Our main finding is that OMD is seriously biased in small samples for many distributions and in relatively large samples for poorly behaved distributions. The bias is almost always downward in absolute value. It arises because sampling errors in the second moments are correlated with sampling errors in the weighting matrix used by OMD. Furthermore, OMD usually has a larger root mean square error and median absolute error than equally weighted minimum distance (EWMD). We also propose and investigate an alternative estimator, which we call independently weighted optimal minimum distance (IWOMD). IWOMD is a split sample estimator using separate groups of observations to estimate the moments and the weights. IWOMD has identical large sample properties to the OMD estimator but is unbiased regardless of sample size. However, the Monte Carlo evidence indicates that IWOMD is usually dominated by EWMD.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Joseph Altonji & Lewis M. Segal, 1994. "Small sample bias in GMM estimation of covariance structures," Working Paper Series, Macroeconomic Issues 94-8, Federal Reserve Bank of Chicago.
    • Handle: RePEc:fip:fedhma:94-8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Abowd, John M & Card, David, 1987. "Intertemporal Labor Supply and Long-term Employment Contracts," American Economic Review, American Economic Association, vol. 77(1), pages 50-68, March.
    2. Bruce N. Lehmann, 1986. "Residual Risk Revisited," NBER Working Papers 1908, National Bureau of Economic Research, Inc.
    3. Koenker, Roger & Machado, José A.F. & Skeels, Christopher L. & Welsh, Alan H., 1994. "Momentary Lapses: Moment Expansions and the Robustness of Minimum Distance Estimation," Econometric Theory, Cambridge University Press, vol. 10(1), pages 172-197, March.
    4. Altonji, Joseph G. & Martins, Ana Paula & Siow, Aloysius, 2002. "Dynamic factor models of consumption, hours and income," Research in Economics, Elsevier, vol. 56(1), pages 3-59, June.
    5. Lehmann, Bruce N., 1990. "Residual risk revisited," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 71-97.
    6. Chamberlain, Gary, 1982. "Multivariate regression models for panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 5-46, January.
    7. Joshua D. Angrist & Alan B. Krueger, 1993. "Split Sample Instrumental Variables," Working Papers 699, Princeton University, Department of Economics, Industrial Relations Section..
    8. repec:cup:etheor:v:10:y:1994:i:1:p:172-97 is not listed on IDEAS
    9. Shanken, Jay, 1990. "Intertemporal asset pricing : An Empirical Investigation," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 99-120.
    10. M. Arellano & J. D. Sargan, 1990. "Imhof Approximations to Econometric Estimators," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 627-646.
    Full references (including those not matched with items on IDEAS)

    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. Mehmet Caner, 2005. "Nearly Singular design in gmm and generalized empirical likelihood estimators," Working Paper 211, Department of Economics, University of Pittsburgh, revised Jan 2005.
    2. Jeffrey M. Wooldridge, 2004. "Estimating average partial effects under conditional moment independence assumptions," CeMMAP working papers CWP03/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    3. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    4. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    5. Baker, Michael, 1997. "Growth-Rate Heterogeneity and the Covariance Structure of Life-Cycle Earnings," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 338-375, April.
    6. Liow, Kim Hiang & Addae-Dapaah, Kwame, 2010. "Idiosyncratic risk, market risk and correlation dynamics in the US real estate investment trusts," Journal of Housing Economics, Elsevier, vol. 19(3), pages 205-218, September.
    7. Louis-Philippe Morin, 2010. "Estimating the Benefit of High School for College-Bound Students," Working Papers 1002E, University of Ottawa, Department of Economics.
    8. Morin, Louis-Philippe, 2010. "Estimating the BenefiÂ…t of High School for College-Bound Students," CLSSRN working papers clsrn_admin-2010-3, Vancouver School of Economics, revised 30 Jan 2010.
    9. Koenker, Roger & Machado, Jose A. F., 1999. "GMM inference when the number of moment conditions is large," Journal of Econometrics, Elsevier, vol. 93(2), pages 327-344, December.
    10. Cotter, John & Sullivan, Niall O' & Rossi, Francesco, 2015. "The conditional pricing of systematic and idiosyncratic risk in the UK equity market," International Review of Financial Analysis, Elsevier, vol. 37(C), pages 184-193.
    11. Angelidis, Timotheos & Tessaromatis, Nikolaos, 2008. "Idiosyncratic volatility and equity returns: UK evidence," International Review of Financial Analysis, Elsevier, vol. 17(3), pages 539-556, June.
    12. Stephan Süss, 2012. "The pricing of idiosyncratic risk: evidence from the implied volatility distribution," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(2), pages 247-267, June.
    13. Alonso-Borrego, Cesar & Arellano, Manuel, 1999. "Symmetrically Normalized Instrumental-Variable Estimation Using Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 36-49, January.
    14. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, January.
    15. Nusret Cakici & Isil Erol & Dogan Tirtiroglu, 2014. "Tracking the Evolution of Idiosyncratic Risk and Cross-Sectional Expected Returns for US REITs," The Journal of Real Estate Finance and Economics, Springer, vol. 48(3), pages 415-440, April.
    16. Hui Guo & Robert Savickas, 2006. "Aggregate idiosyncratic volatility in G7 countries," Working Papers 2004-027, Federal Reserve Bank of St. Louis.
    17. Antoniou, Antonios & Zhao, Huainan & Zhou, Bilei, 2009. "Corporate debt issues and interest rate risk management: Hedging or market timing?," Journal of Financial Markets, Elsevier, vol. 12(3), pages 500-520, August.
    18. Gregory Connor & Sheng Li, 2009. "Market Dispersion and the Profitability of Hedge Funds," Economics Department Working Paper Series n2000109.pdf, Department of Economics, National University of Ireland - Maynooth.
    19. Joel L. Horowitz, 1996. "Bootstrap Methods For Covariance Structures," Econometrics 9610003, University Library of Munich, Germany.
    20. Stivers, Christopher T., 2003. "Firm-level return dispersion and the future volatility of aggregate stock market returns," Journal of Financial Markets, Elsevier, vol. 6(3), pages 389-411, May.

    More about this item

    Keywords

    Statistics;

    Statistics

    Access and download statistics

    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:fip:fedhma:94-8. 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: Lauren Wiese (email available below). General contact details of provider: https://edirc.repec.org/data/frbchus.html .

    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.