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The domain of attraction of a non-gaussian self-similar process with finite variance

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Probability Theory and Mathematical Statistics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1299))

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References

  1. R.L. Dobrushin and P. Major; Non-central limit theorems for non-linear functionals of Gaussian fields. Z.Wahr.G.50(1979),27–52.

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  2. L. Giraitis and D. Surgailis; CLT and other limit theorems for functionals of Gaussian processes. Z.Wahr.G.7(1985),191–212.

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  3. P. Major; Limit theorems for non-linear functionals of Gaussian sequences Z.Wahr.G.(19891),1–14.

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  4. G.W. Morgenthaler; A central limit theorem for uniformly bounded orthoganal systems. Tran.A.M.S. vol.79(1955),281–311.

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  5. M.S. Taqqu; Weak convergence to fractional Brownian motion and to the Rosenblatt process. Z.Wahr.G.31(1975),287–603.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Yoshida College, Kyoto University, 606, Kyoto, Japan

    Norio Kôno

Authors
  1. Norio Kôno
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Shinzo Watanabe Jurii Vasilievich Prokhorov

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© 1988 Springer-Verlag

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Kôno, N. (1988). The domain of attraction of a non-gaussian self-similar process with finite variance. In: Watanabe, S., Prokhorov, J.V. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078473

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  • DOI: https://doi.org/10.1007/BFb0078473

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18814-8

  • Online ISBN: 978-3-540-48187-4

  • eBook Packages: Springer Book Archive

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