Volume 2, Issue 2, March 2013, Page: 38-41
Linear Scale Dilation of Asset Returns
E. Reschenhofer, Department of Statistics and Operations Research, University of Vienna, Vienna, Austria
Received: Mar. 6, 2013;       Published: Apr. 2, 2013
DOI: 10.11648/j.ajtas.20130202.15      View  2549      Downloads  68
Abstract
Comparing the order statistics of daily returns of the S&P 500 index from 03.01.1950 to 04.03.2013 with the corresponding rankits, a linear scale dilation is observed. This observation is used to derive a five-parameter density function for the parsimonious description of the unconditional distribution of stock returns. The typical graph of this density function looks like a wizard's hat. Its signature feature is the discontinuity at zero.
Keywords
Discontinuity, Rankits, Stock Returns, Unconditional Distribution
To cite this article
E. Reschenhofer, Linear Scale Dilation of Asset Returns, American Journal of Theoretical and Applied Statistics. Vol. 2, No. 2, 2013, pp. 38-41. doi: 10.11648/j.ajtas.20130202.15
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