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Characterization and Stability Problems for Finite Quadratic Forms

by Christoph, G., Prohorov, Yu., Ulyanov, V..

Series: 1999-04, Preprints

60E05 Distributions: general theory
62E10 Characterization and structure theory
62E20 Asymptotic distribution theory

Sufficient conditions are given under which the distribution
of a finite quadratic form in independent identically
distributed symmetric random variables defines uniquely the
underlying the underlying distributions. Moreover, a
stability theorem for quadratic forms is proved.

Quadratic forms, characterization problem, stability problem.