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Tail Probabilities for Regression Estimators

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  • Thomas Mikosch

    ()
    (University of Copenhagen)

  • Casper G. de Vries

    ()
    (Erasmus Universiteit Rotterdam)

Abstract

Estimators of regression coefficients are known to be asymptotically normally distributed, provided certain regularity conditions are satisfied. In small samples and if the noise is not normally distributed, this can be a poor guide to the quality of the estimators. The paper addresses this problem for small and medium sized samples and heavy tailed noise. In particular, we assume that the noise is regularly varying, i.e., the tails of the noise distribution exhibit power law behavior. Then the distributions of the regression estimators are heavy tailed themselves. This is relevant for regressions involving financial data which are typically heavy tailed. In medium sized samples and with some dependency in the noise structure, the regression coefficient estimators can deviate considerably from their true values. The relevance of the theory is demonstrated for the highly variable cross country estimates of the expectations coefficient in yield curve regressions.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 06-085/2.

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Date of creation: 06 Oct 2006
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Handle: RePEc:dgr:uvatin:20060085

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Related research

Keywords: heavy tails; regression estimators; expectations hypothesis;

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  1. Fama, Eugene F., 1976. "Forward rates as predictors of future spot rates," Journal of Financial Economics, Elsevier, vol. 3(4), pages 361-377, October.
  2. Campbell, John Y & Shiller, Robert J, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Review of Economic Studies, Wiley Blackwell, vol. 58(3), pages 495-514, May.
  3. Mankiw, N Gregory & Miron, Jeffrey A, 1986. "The Changing Behavior of the Term Structure of Interest Rates," The Quarterly Journal of Economics, MIT Press, vol. 101(2), pages 211-28, May.
  4. Basrak, Bojan & Davis, Richard A. & Mikosch, Thomas, 2002. "Regular variation of GARCH processes," Stochastic Processes and their Applications, Elsevier, vol. 99(1), pages 95-115, May.
  5. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-92, September.
  6. E. Scott Mayfield & Robert G. Murphy, 1993. "Explaining The Term Structure Of Interest Rates: A Panel Data Approach," Boston College Working Papers in Economics 230, Boston College Department of Economics.
  7. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-23.
  8. Martin Lettau & Sydney Ludvigson, 2001. "Resurrecting the (C)CAPM: A Cross-Sectional Test When Risk Premia Are Time-Varying," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1238-1287, December.
  9. Sack, Brian, 2000. "Does the fed act gradually? A VAR analysis," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 229-256, August.
  10. Feige, Edgar L & Swamy, P A V B, 1974. "A Random Coefficient Model of the Demand for Liquid Assets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 6(2), pages 241-52, May.
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Cited by:
  1. Hill, Jonathan B. & Shneyerov, Artyom, 2013. "Are there common values in first-price auctions? A tail-index nonparametric test," Journal of Econometrics, Elsevier, vol. 174(2), pages 144-164.

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