Characterization and Stability Problems for Finite Quadratic Forms

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.

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

The author(s) agree, that this abstract may be stored as full text and distributed as such by abstracting services.