by G. Christoph, Yu. Prohorov, V. Ulyanov
Preprint series: 99-04, Preprints
The paper is published: Asymptotic Methods in Probability and Statistics with Applications, Balakrishnan (ed.) et al., Birkhäuser, Boston, 2000, pp. 39 - 50.
Abstract: 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.
Keywords: Quadratic forms, characterization problem, stability problem.