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The art of fitting financial time series with lévy stable distributions

  • Enrico Scalas
  • , Kyungsik Kim

Research output: Contribution to journalReview articlepeer-review

Abstract

This paper illustrates a procedure for fitting financial data with α-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 one of the two investigated data sets (DJIA from 2000 to present), an α-stable fit of log-returns is reasonably good. However, for the other data set (MIB30 from 2000 to present), the fit is not as good as in the previous case. The issue of goodness-of-fit tests is critically discussed.

Original languageEnglish
Pages (from-to)105-111
Number of pages7
JournalJournal of the Korean Physical Society
Volume50
Issue number1 I
Publication statusPublished - Jan 2007
Externally publishedYes

Keywords

  • Econophysics
  • α-stable distributions

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