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

**Series:** 1999-04, Preprints

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

**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.