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Moment inequalities for real and vector p-stable stochastic integrals

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Probability in Banach Spaces V

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1153))

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References

  1. R.F. BASS and M. CRANSTON, Exit times for symmetric stable processes in ℝn, Annals of Probability, 11 (1983), 578–588.

    Article  MathSciNet  MATH  Google Scholar 

  2. D. BURKHOLDER, Distribution function inequalities for martingales, Annals of Probability 1 (1973), 19–42.

    Article  MathSciNet  MATH  Google Scholar 

  3. S. CAMBANIS, J. ROSIŃSKI and W.A. WOYCZYŃSKI, Convergence of quadratic forms in p-stable random variables and θp-radonifying operators, Annals of Probability 13 (1985) (to appear)

    Google Scholar 

  4. E. GINÉ and M.B. MARCUS, The central limit theorem for stochastic integrals with respect to Lévy processes, Annals of Probability 3 (1983), 58–77.

    Article  MATH  Google Scholar 

  5. O. KALLENBERG, On the existence and path properties of stochastic integrals, Annals of Probability 3 (1975), 262–280.

    Article  MathSciNet  MATH  Google Scholar 

  6. W. KRAKOWIAK and J. SZULGA, Random multilinear forms, Wroclaw University, Preprint, 1984.

    Google Scholar 

  7. W. LINDE, Infinitely divisible and stable measures on Banach spaces, Teubner, Leipzig 1983.

    MATH  Google Scholar 

  8. M.B. MARCUS and G. PISIER, Characterization of almost surely continuous p-stable random Fourier series and strongly stationary processes, Acta Mathematica (1984), 245–301.

    Google Scholar 

  9. T.R. McCONNELL and M.S. TAQQU, Double integration with respect to symmetric stable processes, Cornell University, Dept. of Operations Research, Technical Report # 618, 1984.

    Google Scholar 

  10. J. ROSIŃSKI, On stochastic integral representation of stable processes with sample paths in Banach spaces, UNC, Center for Stochastic Processes, Technical Report # 88, 1985.

    Google Scholar 

  11. J. ROSIŃSKI and W.A. WOYCZYŃSKI, Products of random measures, multilinear random forms and multiple stochastic integrals, Proc. Conf. Measure Theory, Oberwolfach 1983, Springer’s Lecture Notes in Mathematics (1984), 22 pp.

    Google Scholar 

  12. J. ROSIŃSKI and W.A. WOYCZYŃSKI, On Itô stochastic integration with respect to p-stable motion: inner clock, integrability of sample paths, double and multiple integrals, Annals of Probability 13 (1985) (to appear).

    Google Scholar 

  13. J. ROSIŃSKI and W.A. WOYCZYŃSKI, Multilinear forms in Paretolike random variables and product random measures, Colloquium Mathematicum, S. Hartman Festschrift (to appear).

    Google Scholar 

  14. J. SZULGA and W.A. WOYCZYŃSKI, Existence of a double random integral with respect to stable measure, Journal of Multivariate Analysis 13 (1983), 194–201.

    Article  MathSciNet  MATH  Google Scholar 

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Anatole Beck Richard Dudley Marjorie Hahn James Kuelbs Michael Marcus

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© 1985 Springer-Verlag

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Rosinski, J., Woyczynski, W.A. (1985). Moment inequalities for real and vector p-stable stochastic integrals. In: Beck, A., Dudley, R., Hahn, M., Kuelbs, J., Marcus, M. (eds) Probability in Banach Spaces V. Lecture Notes in Mathematics, vol 1153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074961

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  • DOI: https://doi.org/10.1007/BFb0074961

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15704-5

  • Online ISBN: 978-3-540-39645-1

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