Advanced Search
MyIDEAS: Login to save this paper or follow this series

A Refined Bootstrap For Heavy Tailed Distributions

Contents:

Author Info

  • Russell Davidson

    ()

  • Adriana Cornea

    ()

Abstract

It is known that Efron's nonparametric bootstrap of the mean of random variables with common distribution in the domain of attraction of the stable laws is not consistent, in the sense that the limiting distribution of the bootstrap mean is not the same as the limiting distribution of the mean from the real sample. Moreover, the limiting distribution of the bootstrap mean is random and unknown. The remedy for this problem, at least asymptomatically, is either the m out of n or the subsampling bootstrap. However, we show that both these bootstraps can be quite unreliable if the sample is not very large. A refined bootstrap is derived by considering the distribution of the bootstrap P value instead of that of the bootstrap statistic. The quality of inference based on the refined bootstrap is examined in a simulation study, and is found to be satisfactory with heavy-tailed distributions unless the tail index is close to 1 and the distribution is heavily skewed.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.mcgill.ca/files/economics/arefinedbootstrapr.pdf
Download Restriction: no

Bibliographic Info

Paper provided by McGill University, Department of Economics in its series Departmental Working Papers with number 2008-03.

as in new window
Length: 22 pages
Date of creation: Aug 2008
Date of revision:
Handle: RePEc:mcl:mclwop:2008-03

Contact details of provider:
Postal: 855 Sherbrooke St. W., Montréal, Québec, H3A 2T7
Phone: (514) 398-3030
Fax: (514) 398-4938
Web page: http://www.repec.mcgill.ca
More information through EDIRC

Related research

Keywords:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Bill Dupor & Wen-Fang Liu, 2003. "Jealousy and Equilibrium Overconsumption," American Economic Review, American Economic Association, vol. 93(1), pages 423-428, March.
  2. Jeff Dayton-Johnson and Pranab Bardhan., 1996. "Inequality and Conservation on the Local Commons: A Theoretical Exercise," Center for International and Development Economics Research (CIDER) Working Papers C96-071, University of California at Berkeley.
  3. Lane, Philip R & Tornell, Aaron, 1996. " Power, Growth, and the Voracity Effect," Journal of Economic Growth, Springer, vol. 1(2), pages 213-41, June.
  4. Baland, Jean-Marie & Platteau, Jean-Philippe, 1998. "Wealth Inequality and Efficiency in the Commons, Part II: The Regulated Case," Oxford Economic Papers, Oxford University Press, vol. 50(1), pages 1-22, January.
  5. Andrew E. Clark and Andrew J. Oswald, . "Satisfaction and Comparison Income," Economics Discussion Papers 419, University of Essex, Department of Economics.
  6. Gali, Jordi, 1994. "Keeping Up with the Joneses: Consumption Externalities, Portfolio Choice, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(1), pages 1-8, February.
  7. Francisco Alvarez-Cuadrado & Ngo Van Long, 2008. "Relative Consumption and Resource Extraction," CIRANO Working Papers 2008s-27, CIRANO.
  8. Torvik, Ragnar, 2002. "Natural resources, rent seeking and welfare," Journal of Development Economics, Elsevier, vol. 67(2), pages 455-470, April.
  9. Erzo F.P. Luttmer, 2004. "Neighbors as Negatives: Relative Earnings and Well-Being," NBER Working Papers 10667, National Bureau of Economic Research, Inc.
  10. Neumark, David & Postlewaite, Andrew, 1998. "Relative income concerns and the rise in married women's employment," Journal of Public Economics, Elsevier, vol. 70(1), pages 157-183, October.
  11. Ngo Long & Gerhard Sorger, 2006. "Insecure property rights and growth: the role of appropriation costs, wealth effects, and heterogeneity," Economic Theory, Springer, vol. 28(3), pages 513-529, 08.
  12. Tornell, Aaron & Velasco, Andes, 1992. "The Tragedy of the Commons and Economic Growth: Why Does Capital Flow from Poor to Rich Countries?," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1208-31, December.
  13. Baland, Jean-Marie & Francois, Patrick, 2000. "Rent-seeking and resource booms," Journal of Development Economics, Elsevier, vol. 61(2), pages 527-542, April.
  14. Pollak, Robert A, 1976. "Interdependent Preferences," American Economic Review, American Economic Association, vol. 66(3), pages 309-20, June.
  15. Fisher, Walter H. & Hof, Franz X., 2000. "Relative Consumption and Endogenous Labour Supply in the Ramsey Model: Do Status-Conscious People Work Too Much?," Economics Series 85, Institute for Advanced Studies.
  16. Karen E. Dynan & Enrichetta Ravina, 2007. "Increasing Income Inequality, External Habits, and Self-Reported Happiness," American Economic Review, American Economic Association, vol. 97(2), pages 226-231, May.
  17. Cornes, Richard, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 259-71, February.
  18. Baland, Jean-Marie & Platteau, Jean-Philippe, 1997. "Wealth Inequality and Efficiency in the Commons: Part I: The Unregulated Case," Oxford Economic Papers, Oxford University Press, vol. 49(4), pages 451-82, October.
  19. Gerhard Sorger, 2005. "A dynamic common property resource problem with amenity value and extraction costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 3-19.
  20. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
  21. Curtis Eaton & Mukesh Eswaran, 2003. "The evolution of preferences and competition: a rationalization of Veblen's theory of invidious comparisons," Canadian Journal of Economics, Canadian Economics Association, vol. 36(4), pages 832-859, November.
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 in new window

Cited by:
  1. Kotchoni, Rachidi, 2012. "Applications of the characteristic function-based continuum GMM in finance," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3599-3622.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:mcl:mclwop:2008-03. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shama Rangwala) The email address of this maintainer does not seem to be valid anymore. Please ask Shama Rangwala to update the entry or send us the correct address.

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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