Characterizations of power distributions via moments of order statistics and record values

Volume 26 / 1999

Z. Grudzień, D. Szynal Applicationes Mathematicae 26 (1999), 467-475 DOI: 10.4064/am-26-4-467-475


Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.


  • Z. Grudzień
  • D. Szynal

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