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Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights

Bayraktar, Turgay (2018) Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights. Potential Analysis, 48 (4). pp. 459-471. ISSN 0926-2601 (Print) 1572-929X (Online)

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Official URL: http://dx.doi.org/10.1007/s11118-017-9643-9

Abstract

In this note, we obtain asymptotic expected number of real zeros for random polynomials of the form fn(z) = Sigma(n)(j=0) a(j)(n)c(j)(n)z(j) where a(j)(n) are independent and identically distributed real random variables with bounded (2 + delta)th absolute moment and the deterministic numbers c(j)(n) are normalizing constants for the monomials z(j) within a weighted L-2-space induced by aradial weight function satisfying suitable smoothness and growth conditions.

Item Type:Article
Uncontrolled Keywords:Expected number of real zeros; Random orthogonal polynomials
Subjects:Q Science > QA Mathematics > QA299.6-433 Analysis
Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
ID Code:34741
Deposited By:Turgay Bayraktar
Deposited On:31 Jul 2018 10:55
Last Modified:22 May 2019 14:03

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