The art of fitting financial time series with Levy stable distributions
This paper illustrates a procedure for fitting financial data with $\alpha$-stable distributions. After using all the available methods to evaluate the distribution parameters, one can qualitatively select the best estimate and run some goodness-of-fit tests on this estimate, in order to quantitatively assess its quality. It turns out that, for the two investigated data sets (MIB30 and DJIA from 2000 to present), an $\alpha$-stable fit of log-returns is reasonably good.
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- Rafał Weron, 2001.
"Levy-Stable Distributions Revisited: Tail Index > 2 Does Not Exclude The Levy-Stable Regime,"
International Journal of Modern Physics C (IJMPC),
World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 209-223.
- Rafal Weron, 2001. "Levy-stable distributions revisited: tail index > 2 does not exclude the Levy-stable regime," HSC Research Reports HSC/01/01, Hugo Steinhaus Center, Wroclaw University of Technology.
- Rafal Weron, 2003. "Levy-stable distributions revisited: tail index > 2 does not exclude the Levy-stable regime," Econometrics 0305003, EconWPA.
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