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On the Stability of the Distribution of the Market Component in Stock Price Changes

Published online by Cambridge University Press:  19 October 2009

Menachem Brenner
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Extract

Stable distributions are suggested as being the underlying distributions for many economic variables. Capital market variables, in particular, are said to follow a member of the symmetric stable class.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 9 , Issue 6 , December 1974 , pp. 945 - 961
Copyright
Copyright © School of Business Administration, University of Washington 1974

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References

REFERENCES

[1]Barnea, A., and Downes, D. H.. “Reexamination of Empirical Distribution of Stock Price Changes.” Journal of American Statistical Association, June 1973, pp. 348–350.CrossRefGoogle Scholar
[2]Blume, M. E. “The Assessment of Portfolio Performance: An Application of Portfolio Theory.” Unpublished Ph.D. dissertation, University of Chicago, 1968.Google Scholar
[3]Cramer, H.Mathematical Methods of Statistics. Princeton, N.J.: Princeton University Press, 1945.Google Scholar
[4]David, H. A.; Hartley, H. O.; and Pearson, E. S.. “The Distribution of the Ratio in a Single Normal Sample, of Range to Standard Deviation.” Biometrica, vol. 41, 1954.CrossRefGoogle Scholar
[5]Fama, E. F. “Portfolio Analysis in a Stable Paretian Market.” Management Science, January 1965, pp. 404–418.CrossRefGoogle Scholar
[6]Fama, E. F. “Risk, Return and Equilibrium: Some Clarifying Comments.” Journal of Business, March 1968, pp. 409–419.Google Scholar
[7]Fama, E. F. “The Behavior of Stock Market Prices.” Journal of Business, January 1965, pp. 34–105.CrossRefGoogle Scholar
[8]Fama, E. F. “Risk, Return and Equilibrium.” Journal of Political Economy, January–February 1971, pp. 30–55.CrossRefGoogle Scholar
[9]Fama, E. F., and Roll, R.. “Some Properties of Symmetric Stable Distributions.” Journal of American Statistical Association, September 1968.Google Scholar
[10]Fama, E. F., and Roll, R.. “Parameter Estimates for Symmetric Stable Distributions.” Journal of American Statistical Association, June 1971, pp. 331–338.CrossRefGoogle Scholar
[11]Feller, W.An Introduction to Probability Theory and Its Applications, vol. 2. New York: Wiley and Sons, Inc., 1966.Google Scholar
[12]Granger, C. W. J., and Morgenstern, O.. Predictability of Stock Market Prices. Lexington, Mass.: D. C. Heath and Company, 1970.Google Scholar
[13]King, B. F. “Market and Industry Factors in Stock Price Behavior.” Journal of Business, 1966, pp. 139–190.CrossRefGoogle Scholar
[14]Mandelbrot, B. “The Variation of Certain Speculative Prices.” Journal of Business, October 1963, pp. 394–419.CrossRefGoogle Scholar
[15]Officer, R. R. “An Examination of the Time Series Behavior of the Market Factor of the New York Stock Exahange.” Unpublished Ph.D. dissertation, University of Chicago, December 1971.Google Scholar
[16]Pearson, E. S., and Hartley, H. O.. Biometrica Tables for Statisticians, vol. 1. Cambridge: Cambridge University Press, 1958.Google Scholar
[17]Press, S. J. “A Compound Events Model for Security Prices.” Journal of Business, July 1967, pp. 317–335.CrossRefGoogle Scholar
[18]Roll, R. “Efficient Markets, Martingales, and the Market for U.S. Government Treasury Bills.” Ph.D. dissertation, University of Chicago, 1968.Google Scholar
[19]Teichmoeller, J. “A Note on the Distribution of Stock Price Changes.” Journal of American Statistical Association, vol. 66, 1971, pp. 282–284.CrossRefGoogle Scholar
[20]Standard and Poor's Trade and Securities Statistics. Security Price Index Record, pp. 2–3.Google Scholar
[21]Weiss, L. “On the Asymptatic Joint Normality of Quantiles from a Multivariate Distribution.” Journal of Research, vol. 68B, 1964, pp. 65–66.Google Scholar