Characterizations of power distributions via moments of order statistics and record values
Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 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.
@article{10_4064_am_26_4_467_475,
author = {Z. Grudzie\'n and D. Szynal},
title = {Characterizations of power distributions via moments of order statistics and record values},
journal = {Applicationes Mathematicae},
pages = {467--475},
year = {1999},
volume = {26},
number = {4},
doi = {10.4064/am-26-4-467-475},
zbl = {0993.62004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-467-475/}
}
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Z. Grudzień; D. Szynal. Characterizations of power distributions via moments of order statistics and record values. Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 467-475. doi: 10.4064/am-26-4-467-475
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