Approximations to Distributions of Central Order Statistics

  • R.-D. Reiss
Part of the Springer Series in Statistics book series (SSS)


Under weak conditions on the underlying d.f. it can be proved that central (as well as intermediate) order statistics are asymptotically normally distributed. This result easily extends to the case of the joint distribution of a fixed number of central order statistics. In Section 4.1 we shall discuss some conditions which yield the weak and strong asymptotic normality of central order statistics.


Order Statistic Joint Distribution Asymptotic Normality Variational Distance Edgeworth Expansion 
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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • R.-D. Reiss
    • 1
  1. 1.Fachbereich 6, MathematikUniversität Gesamthochschule SiegenSiegenFederal Republic of Germany

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