IDEAS home Printed from https://ideas.repec.org/p/mcl/mclwop/2008-03.html
   My bibliography  Save this paper

A Refined Bootstrap For Heavy Tailed Distributions

Author

Listed:
  • 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.

Suggested Citation

  • Russell Davidson & Adriana Cornea, 2008. "A Refined Bootstrap For Heavy Tailed Distributions," Departmental Working Papers 2008-03, McGill University, Department of Economics.
    • Handle: RePEc:mcl:mclwop:2008-03
    as

    Download full text from publisher

    File URL: http://www.mcgill.ca/files/economics/arefinedbootstrapr.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 259-271.
    3. B. Curtis Eaton & Mukesh Eswaran, 2003. "The evolution of preferences and competition: a rationalization of Veblen's theory of invidious comparisons," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(4), pages 832-859, November.
    4. Francisco Alvarez-Cuadrado & Ngo Van Long, 2008. "Relative Consumption and Resource Extraction," CIRANO Working Papers 2008s-27, CIRANO.
    5. Erzo F. P. Luttmer, 2005. "Neighbors as Negatives: Relative Earnings and Well-Being," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 963-1002.
    6. 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 1208-1231, December.
    7. 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.
    8. Ngo Long & Gerhard Sorger, 2006. "Insecure property rights and growth: the role of appropriation costs, wealth effects, and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 513-529, August.
    9. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    10. Pollak, Robert A, 1976. "Interdependent Preferences," American Economic Review, American Economic Association, vol. 66(3), pages 309-320, June.
    11. Jeff Dayton-Johnson & Pranab Bardhan, 2002. "Inequality And Conservation On The Local Commons: A Theoretical Exercise," Economic Journal, Royal Economic Society, vol. 112(481), pages 577-602, July.
    12. Baland, Jean-Marie & Francois, Patrick, 2000. "Rent-seeking and resource booms," Journal of Development Economics, Elsevier, vol. 61(2), pages 527-542, April.
    13. Torvik, Ragnar, 2002. "Natural resources, rent seeking and welfare," Journal of Development Economics, Elsevier, vol. 67(2), pages 455-470, April.
    14. Lane, Philip R & Tornell, Aaron, 1996. "Power, Growth, and the Voracity Effect," Journal of Economic Growth, Springer, vol. 1(2), pages 213-241, June.
    15. Bill Dupor & Wen-Fang Liu, 2003. "Jealousy and Equilibrium Overconsumption," American Economic Review, American Economic Association, vol. 93(1), pages 423-428, March.
    16. 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.
    17. 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, March.
    18. 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.
    19. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
    20. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
    21. 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.
    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. Kotchoni, Rachidi, 2012. "Applications of the characteristic function-based continuum GMM in finance," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3599-3622.

    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. Long, Ngo Van & Wang, Shengzu, 2009. "Resource-grabbing by status-conscious agents," Journal of Development Economics, Elsevier, vol. 89(1), pages 39-50, May.
    2. Francisco Alvarez-Cuadrado & Ngo Van Long, 2008. "Relative Consumption and Resource Extraction," CIRANO Working Papers 2008s-27, CIRANO.
    3. Francisco Alvarez-Cuadrado, 2007. "Envy, leisure, and restrictions on working hours," Canadian Journal of Economics, Canadian Economics Association, vol. 40(4), pages 1286-1310, November.
    4. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2012. "Social Decision Theory: Choosing within and between Groups," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1591-1636.
    5. Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2011. "The relative income hypothesis," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1489-1501, September.
    6. Samano, Daniel, 2009. "Explaining Taxes at the Upper Tail of the Income Distribution: The Role of Utility Interdependence," MPRA Paper 19112, University Library of Munich, Germany.
    7. Francisco Alvarez-Cuadrado & Jose Maria Casado & Jose Maria Labeaga, 2016. "Envy and Habits: Panel Data Estimates of Interdependent Preferences," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(4), pages 443-469, August.
    8. Francisco Alvarez-Cuadrado & Ngo Van Long, 2008. "A Permanent Income Version of the Relative Income Hypothesis," CESifo Working Paper Series 2361, CESifo.
    9. Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2011. "Relative consumption and renewable resource extraction under alternative property-rights regimes," Resource and Energy Economics, Elsevier, vol. 33(4), pages 1028-1053.
    10. Francisco Alvarez-Cuadrado & Ngo Van Long, 2012. "Envy and Inequality," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(3), pages 949-973, September.
    11. Takuma Kunieda & Kazuo Nishimura, 2018. "Finance and Economic Growth in a Dynamic Game," Dynamic Games and Applications, Springer, vol. 8(3), pages 588-600, September.
    12. Zaruhi Hakobyan & Christos Koulovatianos, 2021. "Symmetric Markovian Games of Commons with Potentially Sustainable Endogenous Growth," Dynamic Games and Applications, Springer, vol. 11(1), pages 54-83, March.
    13. Pintea Mihaela, 2020. "Dynamics of female labor force participation and welfare with multiple social reference groups," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(1), pages 1-23, January.
    14. Winkelmann, Rainer, 2012. "Conspicuous consumption and satisfaction," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 183-191.
    15. Andrew E. Clark & Paul Frijters & Michael A. Shields, 2006. "Income and happiness: Evidence, explanations and economic implications," PSE Working Papers halshs-00590436, HAL.
    16. Sébastien Rouillon, 2014. "Do Social Status Seeking Behaviors Worsen the Tragedy of the Commons?," Dynamic Games and Applications, Springer, vol. 4(1), pages 73-94, March.
    17. Eduardo Pérez-Asenjo, 2011. "If happiness is relative, against whom do we compare ourselves? Implications for labour supply," Journal of Population Economics, Springer;European Society for Population Economics, vol. 24(4), pages 1411-1442, October.
    18. Erzo F. P. Luttmer, 2005. "Neighbors as Negatives: Relative Earnings and Well-Being," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 963-1002.
    19. Halvor Mehlum & Karl Moene & Ragnar Torvik, 2006. "Institutions and the Resource Curse," Economic Journal, Royal Economic Society, vol. 116(508), pages 1-20, January.
    20. Muhammad Faress Bhuiyan, 2018. "Life Satisfaction and Economic Position Relative to Neighbors: Perceptions Versus Reality," Journal of Happiness Studies, Springer, vol. 19(7), pages 1935-1964, October.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

    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:mcl:mclwop:2008-03. 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: Shama Rangwala (email available below). General contact details of provider: https://edirc.repec.org/data/demcgca.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.