Stable Paretian Versus Student's T Stock Market Hypothesis
This article investigates the types of probability distributions that can best represent equity returns using a large sample of daily S&P500 index returns. The competing models, Stable Paretian and Pearson families, are compared using Bayesian methods. The evidence against Stable Paretian as a model of S&P500 index returns is overwhelming. The distribution that best fits the data is Pearson Type IV, and Student's t fits almost as well. One implication is that a Bayesian decision maker should strongly shift beliefs in favor of a Pearson distribution with finite means and variances as a model of daily changes in the S&P500 stock index.
MSU Digital Commons Citation
Alparslan, Artun; Tessitore, Anthony; and Usmen, Nilufer, "Stable Paretian Versus Student's T Stock Market Hypothesis" (2013). Department of Accounting and Finance Faculty Scholarship and Creative Works. 102.