The almost sure representation of intermediate order statistics

  • Vernon Watts


Let {Xn} be independent and identically distributed and let X kn (n) denote the kn-th order statistic for X1 ..., Xn, where kn→∞ but kn/n→0. A representation for X kn (n) in terms of the empirical distribution function is developed. The conditions include those under which X kn (n) is asymptotically normal.


Distribution Function Stochastic Process Probability Theory Order Statistic Mathematical Biology 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Vernon Watts
    • 1
  1. 1.Durham Life Insurance CompanyRaleighUSA

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