On the limit distributions of homogeneous random symmetric polynomials of arbitrary degree

被引：0

作者：

Yanushkevichiene, OL ^{[1
]}

机构：

[1] INST MATH & INFORMAT,LT-2600 VILNIUS,LITHUANIA

来源：

THEORY OF PROBABILITY AND ITS APPLICATIONS | 1996年 / 40卷 / 03期

关键词：

symmetric polynomials; the limit distribution; asymptotic behavior;

D O I：

10.1137/1140067

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper the asymptotic behavior of homogeneous random symmetric polynomials of arbitrary degree is considered. Under some special assumptions, the conditions concerning coefficients of polynomials and ensuring the convergence of the latter to a nondegenerate random variable are found.

引用

页码：588 / 594

页数：7

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