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A NOTE ON CHARACTERIZATIONS OF DISTRIBUTIONS BY REGRESSIONS OF NON‐ADJACENT GENERALIZED ORDER STATISTICS
Author(s) -
Bieniek Mariusz
Publication year - 2009
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2008.00530.x
Subject(s) - mathematics , order statistic , statistics , distribution (mathematics) , order (exchange) , distribution function , function (biology) , mathematical analysis , physics , finance , quantum mechanics , economics , evolutionary biology , biology
Summary We investigate the problem of characterizations of distributions by regressions of generalized order statistics (GOSs) based on a continuous distribution function F . We show that F is uniquely determined if the regressions of a GOS given two other consecutive GOSs are known.