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The generalized domain of attraction of a gaussian law on hilbert space

Part of the Lecture Notes in Mathematics book series (LNM,volume 709)

Keywords

  • Hilbert Space
  • Linear Operator
  • Orthonormal Basis
  • Random Vector
  • Norming Sequence

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References

  • de Acosta, A., Araujo, A. and Giné, E. (1978). On Poisson measures, Gaussian measures and the central limit theorem in Banach space. (Preprint)

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  • Billingsley, P. (1966). Convergence of types in k-space. Z. Wahrscheinlichkeitstheorie 5, 175–179.

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  • Hahn, M. G. and Klass, M. J. (1978). Matrix normalization of sums of i.i.d. random vectors in the domain of attraction of the multivariate normal (to appear in Ann. Probability).

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  • Urbanik, K. (1972). Lévy’s probability measures on Euclidean spaces. Studia Math. 44, 119–148.

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© 1979 Springer-Verlag

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Hahn, M.G. (1979). The generalized domain of attraction of a gaussian law on hilbert space. In: Beck, A. (eds) Probability in Banach Spaces II. Lecture Notes in Mathematics, vol 709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071954

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  • DOI: https://doi.org/10.1007/BFb0071954

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09242-1

  • Online ISBN: 978-3-540-35341-6

  • eBook Packages: Springer Book Archive