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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 $$0\leq \theta \leq 2\pi$$.

##### MSC:
 60H99 Stochastic analysis 60F05 Central limit and other weak theorems
##### Keywords:
random trigonometric polynomial; number of zeros