Strong result for real zeros of random algebraic polynomials

Strong result for real zeros of random algebraic polynomials

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Article ID: iaor2003374
Country: United States
Volume: 14
Issue: 4
Start Page Number: 351
End Page Number: 359
Publication Date: Oct 2001
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: stochastic processes
Abstract:

An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coefficients are non-identically distributed dependent Gaussian random variables. Moreover, our estimated measure of the exceptional set, which is independent of the degree of the polynomials, tends to zero as the degree of the polynomial tends to infinity.

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