Date of Defense
Fall 11-21-1997
Department
Statistics
First Advisor
Daniel Mihalko, Mathematics & Statistics
Second Advisor
David Burnie, Finance and Commercial Law
Third Advisor
Julie Scott, Computing Services
Abstract
The author attempted to reproduce the the results of a paper published in 1995 by Charles P. Jones and Jack W. Wilson in The Journal of Portfolio Management, in which it was claimed that the historical distribution of stock returns was the lognormal distribution. The authors performed statistical tests-of-fit for lognormality on the S&P500 data. Specifically, the author tested the natural logarithm of the sample returns for normality The various tests utilized check normality using the Empirical Distribution Formula (EDF), Skewness, Kurtosis, and the standard Chi-Square test. The alpha level of these tests is set at five percent. The Kirtosis and Skewness tests are regarded as two-tailed tests. Statistical analysis is performed with the Statistical Analysis Software Package (SASTM).
Recommended Citation
Schumacher, Chad R., "Probability Distributions of Stock Market Returns" (1997). Honors Theses. 299.
https://scholarworks.wmich.edu/honors_theses/299
Access Setting
Honors Thesis-Campus Only