Random Trigonometric Polynomials with Nonidentically Distributed Coefficients
Joint Authors
Source
International Journal of Stochastic Analysis
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper provides asymptotic estimates for the expected number of real zeros of two different forms of random trigonometric polynomials, where the coefficients of polynomials are normally distributed random variables with different means and variances.
For the polynomials in the form of a0+a1cosθ+a2cos2θ+⋯+ancosnθ and a0+a1cosθ+b1sinθ+a2cos2θ+b2sin2θ+⋯+ancosnθ+bnsinnθ, we give a closed form for the above expected value.
With some mild assumptions on the coefficients we allow the means and variances of the coefficients to differ from each others.
A case of reciprocal random polynomials for both above cases is studied.
American Psychological Association (APA)
Farahmand, Kambiz& Li, T.. 2010. Random Trigonometric Polynomials with Nonidentically Distributed Coefficients. International Journal of Stochastic Analysis،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-509180
Modern Language Association (MLA)
Farahmand, Kambiz& Li, T.. Random Trigonometric Polynomials with Nonidentically Distributed Coefficients. International Journal of Stochastic Analysis No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-509180
American Medical Association (AMA)
Farahmand, Kambiz& Li, T.. Random Trigonometric Polynomials with Nonidentically Distributed Coefficients. International Journal of Stochastic Analysis. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-509180
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509180