# zbMATH — the first resource for mathematics

On the average number of real zeros of a random trigonometric polynomial with dependent coefficients. II. (English) Zbl 0553.60063
[Part I has been submitted for publication in J. Indian Math. Soc.]
For the random trigonometric polynomial $$T(\theta)=\sum^{n}_{k=1}a_ k\cos k\theta$$ ($$0\leq \theta \leq 2\pi)$$ where $$a_ k$$’s are dependent normal random variables with mean zero, variance one and the correlation coefficient between any two random variables $$(a_ i,a_ j)$$ is $$p^{| i-j|}$$, $$i\neq j$$, the average number of real zeros is asymptotic to $$2n/\sqrt{3}$$ for large $$n$$.

##### MSC:
 60H99 Stochastic analysis 60F15 Strong limit theorems