## The Annals of Probability

### The Mean Number of Real Roots for One Class of Random Polynomials

M. Shenker

#### Abstract

Let $\xi_0, \xi_1, \cdots, \xi_n, \cdots$ be a Gaussian stationary sequence of random variables. We study the asymptotic behavior of the mean number of real roots of the polynomial $P_n(x) = \xi_0 + \xi_1x + \cdots + \xi_nx^n$ as $n \rightarrow \infty$.

#### Article information

Source
Ann. Probab., Volume 9, Number 3 (1981), 510-512.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176994424

Digital Object Identifier
doi:10.1214/aop/1176994424

Mathematical Reviews number (MathSciNet)
MR614636

Zentralblatt MATH identifier
0466.60041

JSTOR