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Limit theorems for extreme order statistics under nonlinear normalization

Part of the Lecture Notes in Mathematics book series (LNM,volume 1155)

Keywords

  • Functional Equation
  • Limit Theorem
  • Weak Convergence
  • Asymptotic Relation
  • Continuous Transformation

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References

  1. Aczel J. Some general methods in the theory of functional equations with one variable. New applications of functional equations (in Russian).-Uspehi Matem.Nauk, 1956, v.XI, N 3(69).

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  2. Galambos J. The asymptotic theory of extreme order statistics. John Wiley, New York, 1978.

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  3. Gnedenko B.W. Sur la distribution limite du terme maximum d'une série aléatoire. Ann. of Math., 1943, v.44, N 3, p.423–453.

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© 1985 Springer-Verlag

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Pantcheva, E. (1985). Limit theorems for extreme order statistics under nonlinear normalization. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074824

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  • DOI: https://doi.org/10.1007/BFb0074824

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15985-8

  • Online ISBN: 978-3-540-39686-4

  • eBook Packages: Springer Book Archive