Characterization of Populations by Identically Distributed Linear Statistics

Yanushkevichius, R.
July 2014
Journal of Mathematical Sciences;Jul2014, Vol. 200 Issue 4, p502
Academic Journal
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.


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