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We analyze the data of the Italian and U.S. futures on the stock markets and we test the validity of the Continuous Time Random Walk assumption for the survival probability of the returns time series via a renewal aging experiment. We also study the survival probability of returns sign and apply a coarse graining procedure to reveal the renewal aspects of the process underlying its dynamics.
To appear in special issue of Chaos, Solitons and Fractals
FOS: Economics and business, Mittag-Leffler function, Physics - Physics and Society, Statistical Finance (q-fin.ST), fractional derivatives, Quantitative Finance - Statistical Finance, FOS: Physical sciences, Physics and Society (physics.soc-ph), continuous-time random walks
FOS: Economics and business, Mittag-Leffler function, Physics - Physics and Society, Statistical Finance (q-fin.ST), fractional derivatives, Quantitative Finance - Statistical Finance, FOS: Physical sciences, Physics and Society (physics.soc-ph), continuous-time random walks
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