Exact approximation orders in the conditional central limit theorem

  • D. Landers
  • L. Rogge
Article
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Keywords

Convergence Rate Inductive Assumption Convergence Order Binominal Distribution H61der Inequality 
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References

  1. 1.
    Landers, D., Rogge, L.: Inequalities for conditioned normal approximations. Ann. Probability 5, 595–600 (1977)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Landers, D., Rogge, L.: Best approximants in LΦ-spaces. Z. Wahrscheinlichkeitstheorie verw. Gebiete 51, 215–237(1980)MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Michel, R.: Nonuniform central limit bounds with applications to probabilities of deviations. Ann. Probability 4, 102–106 (1976)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Renyi, A.: On mixing sequences of sets. Acta Math. Acad. Sci. Hungar. 9, 215–228 (1958)MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • D. Landers
    • 1
  • L. Rogge
    • 2
  1. 1.Mathematisches Institut der Universität zu KölnKölnFederal Republic of Germany
  2. 2.Fachbereich 11 MathematikUniversität-Gesamthochschule-DuisburgDuisburg 1Federal Republic of Germany

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