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Cross-Security Tests of the Mixture of Distributions Hypothesis

Published online by Cambridge University Press:  06 April 2009

Lawrence Harris
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Abstract

New cross-sectional tests of the Mixture of Distributions Hypothesis are presented. The tests assume that the distribution of the mixing variable (often interpreted as the daily rate of flow of information) is not identical for all securities. Cross-security differences in the mixing distribution cause cross-security differences in the joint distribution of returns and volume. The Hypothesis provides predictions about how these differences appear in the joint distribution. The predictions are confirmed in tests based on cross-security correlations among summary statistics that characterize shape and covariational attributes of the joint distribution of returns and volume. The results are consistent with the Mixture of Distributions Hypothesis.

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Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 21 , Issue 1 , March 1986 , pp. 39 - 46
Copyright
Copyright © School of Business Administration, University of Washington 1986

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References

[1]Clark, Peter K. “A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices.” Econometrica, Vol. 41 (01 1973), pp. 135–155.CrossRefGoogle Scholar
[2]Fisher, R. A. “On the “Probable Error” of a Coefficient of Correlation Deduced from a Small Sample.” Metron, Vol. 1 (01 1921), pp. 329–332.Google Scholar
[3]Harris, Lawrence. “A Theoretical and Empirical Analysis of the Distribution of Speculative Prices and of the Relation between Absolute Price Change and Volume.” Unpublished Ph.D. Dissertation, University of Chicago (1982).Google Scholar
[4]Kon, Stanley. “Models of Stock Returns—A Comparison.” Journal of Finance, Vol. 39 (01 1984), pp. 147–165.Google Scholar
[5]Morgan, I. G. “Stock Prices and Heteroskedasticity.” Journal of Business, Vol. 49 (10 1976), pp. 496–508.CrossRefGoogle Scholar
[6]Tauchen, George, and Pitts, Mark. “The Price Variability-Volume Relationship on Speculative Markets.” Econometrica, Vol. 51 (03 1983), pp. 485–505.CrossRefGoogle Scholar
[7]Westerfield, R. “The Distribution of Common Stock Price Changes: An Application of Transactions Time and Subordinated Stochastic Models.” Journal of Financial and Quantitative Analysis, Vol. 12 (12 1977), pp. 743–765.CrossRefGoogle Scholar
[8]Zellner, Arnold. An Introduction to Bayesian Inference in Econometrics. New York: John Wiley & Sons, Inc. (1971).Google Scholar