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Refining the Bootstrap Method of Stochastic Dominance Analysis: The Case of the January Effect

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  • Larsen, Glen A, Jr
  • Resnick, Bruce G

Abstract

This study investigates the effect of sample size and population distribution on the bootstrap estimated sampling distributions for stochastic dominance (SD) test statistics. Bootstrap critical values for Whitmore's (1978) second- and third-degree stochastic dominance test statistics are found to vary with both data sample size and variance of the population distribution. The results indicate the parametric nature of the statics and suggest that the bootstrap method should be used to estimate a sampling distribution each time a new data sample is drawn. As an application of the bootstrap method, the January small firm effect is examined. The results conflict with the SD results of others, and indicate that not all investors would prefer to hold just a portfolio of small capitalization firms in January. Copyright 1996 by Kluwer Academic Publishers

Suggested Citation

  • Larsen, Glen A, Jr & Resnick, Bruce G, 1996. "Refining the Bootstrap Method of Stochastic Dominance Analysis: The Case of the January Effect," Review of Quantitative Finance and Accounting, Springer, vol. 7(1), pages 65-79, July.
    • Handle: RePEc:kap:rqfnac:v:7:y:1996:i:1:p:65-79
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    Cited by:

    1. Post, G.T., 2002. "A Stochastic Dominance Approach to Spanning," ERIM Report Series Research in Management ERS-2002-01-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Post, Thierry, 2005. "A Stochastic Dominance Approach to Spanning. With an Application to the January Effect/Una aproximación mediante la metodología del dominio estocástico al fenómeno del SPANNING. Una aplicación al efec," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 7-25, Abril.
    3. Vinod, H. D., 2004. "Ranking mutual funds using unconventional utility theory and stochastic dominance," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 353-377, June.
    4. Brian Lucey, 2004. "Robust estimates of daily seasonality in the Irish equity market," Applied Financial Economics, Taylor & Francis Journals, vol. 14(7), pages 517-523.
    5. Ross Dickens & Roger Shelor, 2003. "Pros win! Pros win!… or do they?: an analysis of the 'Dartboard' contest using stochastic dominance," Applied Financial Economics, Taylor & Francis Journals, vol. 13(8), pages 573-579.

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