**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.

**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.*

**Upload:** 1999-04-20-04-20

**Update:** 2001-01-18

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