Open Access
Issue
ESAIM: PS
Volume 25, 2021
Page(s) 286 - 297
DOI https://doi.org/10.1051/ps/2021011
Published online 07 July 2021
  1. J.-M. Bardet and D. Surgailis, Nonparametric estimation of the local Hurst function of multifractional Gaussian processes. Stochastic Process. Appl. 123 (2013) 1004–1045. [Google Scholar]
  2. A. Basse-O’Connor, R. Lachièze-Rey and M. Podolskij, Power variation for a class of stationary increments Lévy driven moving averages. Ann. Probab. 45 (2017) 4477–4528. [Google Scholar]
  3. A. Benassi, S. Cohen and J. Istas, Identification and properties of real harmonizable fractional Lévy motions. Bernoulli 8 (2002) 97–115. [MathSciNet] [Google Scholar]
  4. A. Benassi, S. Cohen and J. Istas, On roughness indices for fractional fields. Bernoulli 10 (2004) 357–373. [CrossRef] [MathSciNet] [Google Scholar]
  5. A. Benassi, S. Jaffard and D. Roux, Elliptic Gaussian random processes. Rev. Mat. Iberoamericana 13 (1997) 19–90. [Google Scholar]
  6. S. Cambanis and M. Maejima, Two classes of self-similar stable processes with stationary increments. Stochastic Process. Appl. 32 (1989) 305–329. [Google Scholar]
  7. J.L. Doob, Vol. 7 of Stochastic Processes. Wiley, New York (1953). [Google Scholar]
  8. D. Kremer and H.-P. Scheffler, Multivariate stochastic integrals with respect to independently scattered random measures on δ-rings. Preprint arXiv:1711.00890 [math.PR] (2018) 28. [Google Scholar]
  9. J. Lamperti, Semi-stable stochastic processes. Trans. Am. Math. Soc. 104 (1962) 62–78. [Google Scholar]
  10. T. Marquardt, Fractional Lévy processes with an application to long memory moving average processes. Bernoulli 12 (2006) 1099–1126. [CrossRef] [MathSciNet] [Google Scholar]
  11. R.-F. Peltier and J. Lévy Véhel, Multifractional Brownian Motion: Definition and Preliminary Results. Research Report RR-2645, INRIA (1995). Available at https://hal.inria.fr/inria-00074045/file/RR-2645.pdf. [Google Scholar]
  12. B.S. Rajput and J. Rosiński, Spectral representations of infinitely divisible processes. Probab. Theory Related Fields 82 (1989) 451–487. [Google Scholar]
  13. J. Rosiński, On the structure of stationary stable processes. Ann. Probab. 23 (1995) 1163–1187. [Google Scholar]
  14. J. Rosiński and G. Samorodnitsky, Classes of mixing stable processes. Bernoulli 2 (1996) 365–377. [Google Scholar]
  15. G. Samorodnitsky and M.S. Taqqu, Stable non-Gaussian Random Processes. Stochastic Modeling. Chapman & Hall, New York (1994). Stochastic models with infinite variance. [Google Scholar]
  16. K. Sato, Lévy processes and infinitely divisible distributions. Vol. 68 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (1999). Translated from the 1990 Japanese original, Revised by the author. [Google Scholar]
  17. S. Stoev, M.S. Taqqu, C. Park, G. Michailidis and J. Marron, Lass: a tool for the local analysis of self-similarity. Comput. Stat. Data Anal. 50 (2006) 2447–2471. [Google Scholar]
  18. K. Urbanik, Random measures and harmonizable sequences. Stud. Math. 31 (1968) 61–88. [Google Scholar]
  19. W. Willinger, M.S. Taqqu and A. Erramilli, A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks. Stochastics Networks: Theory and Applications. Oxford University Press (1996) 339–366. [Google Scholar]
  20. A.M. Yaglom, An Introduction to the Theory of Stationary Random Functions. Courier Corporation (2004). [Google Scholar]

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