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Log Log law for Gaussian random variables in Orlicz spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1080)

Keywords

  • Gaussian Random Variable
  • Orlicz Space
  • Invariance Principle
  • Gaussian Measure
  • Reproduce Kernel Hilbert Space

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References

  1. Aronszajn, N. Theory of reproducing kernels, Trans. Amer. Math. Soc. 68 (1950), 337–404.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Byczkowski, T. The invariance principle for group-valued random variables, Studia Math. 56 (1976), 187–198.

    MathSciNet  MATH  Google Scholar 

  3. Byczkowski, T. Gaussian measures on Lp spaces, O<p≤1, Studia Math. 59 (1977), 249–261.

    MathSciNet  MATH  Google Scholar 

  4. Byczkowski, T. Norm convergent expansion for Lφ-valued Gaussian random elements, Studia Math. 64(1979), 87–95.

    MathSciNet  MATH  Google Scholar 

  5. Byczkowski, T., Żak, T. On the integrability of Gaussian random vectors, Lecture Notes in Math. 828(1980), 21–29.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Fernique, X. Intégrabilité des vecteurs gaussiens, C.R. Acad. Sci. Paris, ser. A 270(1970), 1698–1699.

    MathSciNet  MATH  Google Scholar 

  7. Kahane, J.P. Some random series of functions, Lexington Massachusetts 1968.

    Google Scholar 

  8. Ławniczak, A.T. Gaussian measures on Orlicz spaces and abstract Wiener spaces, Lecture Notes in Math. 939 (1982), 81–97.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Le Page, R.D. Log log law for Gaussian processes, Z. Wahr. 25(1973), 103–108.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Litwin, T. M. Sc. Thesis, Technical University, Wrocław 1980.

    Google Scholar 

  11. Strassen, V. An invariance principle for the law of the iterated logarithm, Z. Wahr. 3(1964), 211–226.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1984 Springer-Verlag

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Inglot, T., Jurlewicz, T. (1984). Log Log law for Gaussian random variables in Orlicz spaces. In: Szynal, D., Weron, A. (eds) Probability Theory on Vector Spaces III. Lecture Notes in Mathematics, vol 1080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099789

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  • DOI: https://doi.org/10.1007/BFb0099789

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13388-9

  • Online ISBN: 978-3-540-38939-2

  • eBook Packages: Springer Book Archive