On the variance of the number of real roots of random algebraic polynomials

Authors: M. Sambandham - ^a; V. Thangaraj - ^b; A. T. Bharucha-Reid ^a^c

Affiliations:	^a School of Mathematics, Georgia Institute of Technology, Atlanta, GA
	^b Department of Mathematics and Statistics, Annamalai University, Annamalainagar, India
	^c Department of Mathematical Sciences, Atlanta University, Atlanta, GA

DOI: 10.1080/07362998308809013

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 1, Issue 2 1983 , pages 215 - 238

Subjects: Statistics & Probability; Stochastic Models & Processes;

Formats available: PDF (English)

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Abstract

In this paper we obtain an estimate of the variance of the number of real roots of a random algebraic polynomial whose coefficients are dependent standard Gaussian random variables.

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On the variance of the number of real roots of random algebraic polynomials

Abstract