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Fractional Lévy processes with an application to long memory moving average processes (2006)  (Make Corrections)  
Tina Marquardt



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Abstract: Starting from the moving average integral representation of fractional Brownian motion (FBM) the class of fractional Levy processes (FLP) is introduced by replacing the Brownian motion by a general Levy process with zero mean, nite variance and no Brownian component. We present di erent methods to construct fractional Levy processes and study second order and sample path properties. FLPs have the same second order structure as FBM and, depending on the Levy measure, they are not... (Update)

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@misc{ marquardt-fractional,
  author = "Tina Marquardt",
  title = "Fractional Lévy processes with an application to long memory moving
    average processes",
  url = "citeseer.ist.psu.edu/marquardt06fractional.html" }
Citations (may not include all citations):
81   Stable Non-Gaussian Random Processes: Stochastic Models with.. (context) - Samorodnitsky, Taqqu - 1994
68   Probability Theory (context) - eve - 1960
41   Fractional Brownian motions (context) - Mandelbrot, Van Ness - 1968
29   Stochastic Integration and Di erential Equations (context) - Protter - 2004
27   Stochastic analysis of the fractional Brownian motion - Decreusefond, Ust - 1999
25   evy Processes and In nitely Divisible Distributions (context) - Sato - 1999
25   Foundations of Modern Probability (context) - Kallenberg - 1998
20   the prediction of fractional Brownian motion - Gripenberg, Norros - 1996
15   Non-Gaussian Ornstein-Uhlenbeck based models and some of the.. (context) - -Nielsen, Shephard - 2001
14   Fractional Integrals and Derivatives (context) - Samko, Kilbas et al. - 1993
13   Springer-Verlag (context) - Shiryaev - 1996
10   Stochastic calculus for fractional Brownian motion - Duncan, Hu et al. - 2000
10   Stochastic calculus with respect to the fractional Brownian .. (context) - Nualart - 2003
10   Financial Modelling with Jump Processes (context) - Cont, Tankov - 2004
7   Term structure models driven by general Levy processes - Eberlein, Raible - 1999

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