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On large deviations of sums of independent random vectors

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

Keywords

  • Separable Banach Space
  • Independent Random Vector
  • Frechet Derivative
  • Affine Hull
  • General Vector Space

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References

  1. de Acosta, A. (1984). Upper bounds for large deviations of dependent random vectors. To appear in Z. Wahrscheinlichkeitstheorie.

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  2. Azencott, R. (1980). Grandes deviations et applications. Lecture Notes in Mathematics 774. Springer-Verlag, Berlin and New York.

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  3. Bahadur, R. R. and Zabell, S. (1979). Large deviations of the sample mean in general vector spaces. Ann. Probability 7, 587–621.

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  4. Donsker, M. D. and Varadhan, S. R. S. (1976). Asymptotic evaluation of certain Markov process expectations for large time III. Comm. Pure Appl. Math. 29, 389–461.

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  5. Rockafellar, R. T. (1970). Convex Analysis. Princeton University Press.

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  6. Schaefer, H. H. (1966). Topological vector spaces. MacMillan, New York.

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© 1985 Springer-Verlag

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de Acosta, A. (1985). On large deviations of sums of independent random vectors. 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/BFb0074942

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  • DOI: https://doi.org/10.1007/BFb0074942

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15704-5

  • Online ISBN: 978-3-540-39645-1

  • eBook Packages: Springer Book Archive