Characterization of Populations by Identically Distributed Linear Statistics

By Eaton’s characterization theorem, if the investigated population has a symmetric distribution, and if, under additional conditions, two linear forms of independent observations drawn from this population have the same distribution as the monomial, then this monomial has a stable distribution. The...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014-07, Vol.200 (4), p.502-504
Main Author: Yanushkevichius, R.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:By Eaton’s characterization theorem, if the investigated population has a symmetric distribution, and if, under additional conditions, two linear forms of independent observations drawn from this population have the same distribution as the monomial, then this monomial has a stable distribution. The aim of this paper is to avoid the symmetry condition for the investigated population.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1936-6