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On the number of real zeros of a random trigonometric polynomial: Coefficients with non-zero mean. (English) Zbl 0632.60063
For the random trigonometric polynomial \(\phi (\theta,t)=\sum^{N}_{n=1}g_ n(t)\cos n\theta\) where \(0\leq t\leq 1\) and \(g_ n(t)\) are independent normal random variables with mean m (\(\neq 0)\) and variance \(\nu^ 2\), we estimate the probable number of zeros in the interval \(0\leq \theta \leq 2\pi\).

60H99 Stochastic analysis
60F05 Central limit and other weak theorems
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