IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0076.html
   My bibliography  Save this paper

Kolmogorov-Smirnov Tests For Distribution Function Similarity With Applications To Portfolios of Common Stock

Author

Listed:
  • Jack Meyer
  • Robert H. Rasche

Abstract

If the elements of the choice set in a decision model involving randomness are not arbitrary, but restricted appropriately, an expected utility ordering of them can be represented by a mean standard deviation ranking function. These restrictions can apply to the form of, or can specify relationships among, the distribution functions. A particularly useful restriction is one which requires that elements in the choice set, when normalized to have a zero mean and unit variance, be identically distributed. No restriction is placed on the form of any individual distribution function. This research empirically tests for this and other useful restrictions on the relationships among the elements of a set of random variables. Observations from the random variables are used to test whether or not they have distribution functions which are appropriately related to one another. The tests are applied to rate of return data for portfolios of common stock. The tests indicate that one cannot reject the hypothesis that the distribution functions of these portfolios are sufficiently similar to imply that the efficient set of portfolios for any risk averse expected utility maximizer is contained in the mean-standard deviation efficient set.

Suggested Citation

  • Jack Meyer & Robert H. Rasche, 1989. "Kolmogorov-Smirnov Tests For Distribution Function Similarity With Applications To Portfolios of Common Stock," NBER Technical Working Papers 0076, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0076
    Note: ME
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0076.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pulley, Lawrence B., 1981. "A General Mean-Variance Approximation to Expected Utility for Short Holding Periods," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 361-373, September.
    2. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    3. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    4. Meyer, Jack, 1977. "Further Applications of Stochastic Dominance to Mutual Fund Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(2), pages 235-242, June.
    5. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
    6. Feder, Gershon, 1977. "The impact of uncertainty in a class of objective functions," Journal of Economic Theory, Elsevier, vol. 16(2), pages 504-512, December.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Thomas Eichner & Andreas Wagener, 2002. "Increases in Risk and the Welfare State," CESifo Working Paper Series 685, CESifo.
    3. Regev, Uri, 1990. "The Impact of Risk on Pest Management Strategies," 1990 Annual meeting, August 5-8, Vancouver, Canada 270735, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Two-moment decision model for location-scale family with background asset," MPRA Paper 43864, University Library of Munich, Germany.
    5. Thomas Eichner & Andreas Wagener, 2009. "Multiple Risks and Mean-Variance Preferences," Operations Research, INFORMS, vol. 57(5), pages 1142-1154, October.
    6. Mitchell, Douglas W. & Gelles, Gregory M., 2003. "Risk-value models: Restrictions and applications," European Journal of Operational Research, Elsevier, vol. 145(1), pages 109-120, February.
    7. Graff Zivin, Joshua & Small, Arthur A., 2003. "Risk sharing in Coasean contracts," Journal of Environmental Economics and Management, Elsevier, vol. 45(2, Supple), pages 394-415, March.
    8. Barrett, Christopher B., 1999. "The effects of real exchange rate depreciation on stochastic producer prices in low-income agriculture," Agricultural Economics, Blackwell, vol. 20(3), pages 215-230, May.
    9. Freeman, Mark C. & Wagner, Gernot & Zeckhauser, Richard J., 2015. "Climate Sensitivity Uncertainty: When Is Good News Bad?," Working Paper Series rwp15-002, Harvard University, John F. Kennedy School of Government.
    10. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    11. Robert G. Chambers & John Quiggin, 2007. "Dual Approaches to the Analysis of Risk Aversion," Economica, London School of Economics and Political Science, vol. 74(294), pages 189-213, May.
    12. Thomas Eichner & Rüdiger Pethig, 2015. "Efficient Management of Insecure Fossil Fuel Imports through Taxing Domestic Green Energy?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(5), pages 724-751, October.
    13. Röthig, Andreas, 2008. "The Impact of Backwardation on Hedgers' Demand for Currency Futures Contracts: Theory versus Empirical Evidence," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 35698, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    14. Ana Paula Martins, 2008. "Uninsurable Risks: Uncertainty in Production, the Value of Information and Price Dispersion," Economics Bulletin, AccessEcon, vol. 28(8), pages 1.
    15. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1997. "The no-loss offset provision and the attitude towards risk of a risk-neutral firm," Journal of Public Economics, Elsevier, vol. 65(2), pages 207-217, August.
    16. Gregory L. Poe & Richard M. Klemme & Shawn J. McComb & John E. Ambrosious, 1991. "Commodity Programs and the Internalization of Erosion Costs: Do They Affect Crop Rotation Decisions?," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 13(2), pages 223-235.
    17. Dana G. Popescu & Sridhar Seshadri, 2013. "Demand Uncertainty and Excess Supply in Commodity Contracting," Management Science, INFORMS, vol. 59(9), pages 2135-2152, September.
    18. Biing‐Shiunn Yang & Chao‐Cheng Mai, 2009. "Löschian competition under demand uncertainty," Papers in Regional Science, Wiley Blackwell, vol. 88(4), pages 765-784, November.
    19. Gelles, Gregory M. & Mitchell, Douglas W., 1999. "Ordering utility functions based on mean-seeking behavior," The Quarterly Review of Economics and Finance, Elsevier, vol. 39(3), pages 317-328.
    20. Paulson, Nicholas D. & Babcock, Bruce A., 2010. "Readdressing the Fertilizer Problem," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 35(3), pages 1-17, December.

    More about this item

    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:nbr:nberte:0076. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.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.