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On the Estimation Risk in First-Order Stochastic Dominance: A Note

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  • Stein, William
  • Pfaffenberger, Roger
  • Kumar, P. C.

Abstract

This note has given results for the probability of committing a Type I error in first-order stochastic dominance when it is assumed that both options have been sampled from the same distribution of returns. The probabilities are based on known results in the stochastic processes and statistical goodness-of-fit literatures, but have not been recognized in connection with the problem of estimation of risk in stochastic dominance. Further work on FSD Type II error probabilities based on ideas in this paper is in progress.

Suggested Citation

  • Stein, William & Pfaffenberger, Roger & Kumar, P. C., 1983. "On the Estimation Risk in First-Order Stochastic Dominance: A Note," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(4), pages 471-476, December.
  • Handle: RePEc:cup:jfinqa:v:18:y:1983:i:04:p:471-476_02
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    Cited by:

    1. William E. Stein & Roger C. Pfaffenberger & Dan W. French, 1987. "Sampling Error In First Order Stochastic Dominance," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 10(3), pages 259-268, September.
    2. Meyer, Jack, 1988. "Two Moment Decision Models And Expected Utility Maximization: Some Implications For Applied Research," Regional Research Projects > 1988: S-180 Annual Meeting, March 20-23, 1988, Savannah, Georgia 272846, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    3. J. Annaert & S. Van Osselaer & B. Verstraete, 2007. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 07/473, Ghent University, Faculty of Economics and Business Administration.
    4. Cochran, Mark J., 1986. "Stochastic Dominance: The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271995, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.

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