Level crossings of a random trigonometric polynomial
Author:
Kambiz Farahmand
Journal:
Proc. Amer. Math. Soc. 111 (1991), 551557
MSC:
Primary 60G99; Secondary 42A61
MathSciNet review:
1015677
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Abstract: This paper provides an asymptotic estimate for the expected number of level crossings of the random trigonometric polynomial , where are independent normally distributed random variables with mean and variance one. It is shown that the result for remains valid for any finite constant and any such that as .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939199110156774
PII:
S 00029939(1991)10156774
Keywords:
Number of real roots,
KacRice formula,
random trigonometric polynomial
Article copyright:
© Copyright 1991
American Mathematical Society
