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Real zeros of a random hyperbolic polynomial

 

作者: K. Farahmand,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1999）
卷期: Volume 17, issue 4  

页码: 553-562

 

ISSN:0736-2994

 

年代: 1999

 

DOI:10.1080/07362999908809619

 

出版商: Marcel Dekker, Inc.

 

关键词: Number of Real Zeros;Kac-Rice Formula;Random Algebraic Polynomial;Random Trigonometric Polynomial

 

数据来源: Taylor

 

摘要:

1The asymptotic estimates for the expected number of real zeros of a random hyperbolic polynomialwith normally distributed coefficients with mean μ ¦ 0 and variance one is obtained. It is shown that for any constant μ as long asnμ → ∞ asnμ → ∞this expected number isO(1). The result in a case of non-identically distributed coefficients is also presented

 

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