New features on real zeros of random polynomials

DOI10.1016/j.na.2009.05.011zbMath1239.60039OpenAlexW2090312525MaRDI QIDQ425801

Saeid Rezakhah, Soudabeh Shemehsavar

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.05.011

zbMATH Keywords

random algebraic polynomialGaussian coefficientsnumber of real zerosexpected density

Mathematics Subject Classification ID

Stochastic processes (60G99)

Related Items (4)

On real zeros of self-similar random Gaussian polynomials with decreasing variances: apparition of a phase transition ⋮ Expected number of real zeros of Gaussian self-reciprocal random algebraic polynomials ⋮ Two new estimators of entropy for testing normality ⋮ Modified entropy estimators for testing normality

Cites Work

• On the average number of level crossings of certain Gaussian random polynomials
• On the real roots of the random algebraic equation
• Algebraic polynomials with non-identical random coefficients
• Real Zeros of Random Algebraic Polynomials
• An Asymptotic Expansion for the Expected Number of Real Zeros of a Random Polynomial
• How many zeros of a random polynomial are real?
• On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means
• On the Expected Number of Real Zeros of Certain Gaussian Random Polynomials
• Real Zeros of Random Polynomials. II
• On the average number of real roots of a random algebraic equation
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