The expected number of level crossings of random trigonometric polynomials.

DOI10.1016/j.aml.2004.07.013zbMath1060.60055OpenAlexW1989087957MaRDI QIDQ1767179

Xianqiang Yang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.07.013

zbMATH Keywords

Stochastic processesKac-Rice formulaRandom polynomialsLevel crossingsNumber of zeros

Mathematics Subject Classification ID

Stochastic processes (60G99)

Cites Work

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• On the average number of level crossings of a random trigonometric polynomial
• Mean Number of Real Zeros of a Random Trigonometric Polynomial
• The average number of level crossings of a random algebraic polynomial
• An Asymptotic Expansion for the Expected Number of Real Zeros of a Random Polynomial
• The Number of Real Zeros of a Random Trigonometric Polynomial

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