Characterizations of power distributions via moments of order statistics and record values
Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 467-475
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
DOI :
10.4064/am-26-4-467-475
Keywords:
power, sample, uniform distributions, record values
Affiliations des auteurs :
Z. Grudzień 1 ; D. Szynal 1
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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},
publisher = {mathdoc},
volume = {26},
number = {4},
year = {1999},
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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