Characterizations of power distributions via moments of order statistics and record values
Volume 26 / 1999
Applicationes Mathematicae 26 (1999), 467-475
DOI: 10.4064/am-26-4-467-475
Abstract
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.
