On some regressional relations connecting sample means and order statistics
Abstract
New characterizations of some probability distributions based on regressional properties of sample means and order statistics are obtained. Some relations, which characterize Student’s t2-distribution, are presented as a partial case. Refs 2.Keywords:
sample means, order statistics, characterizations of probability distributions, Student’s t_2-distribution
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.