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This paper provides an asymptotic estimate for the expected number of level-crossings of random trigonometric polynomials a
0(ω) + a
1(ω)cosΘ + ··· + a
n
(ω)cos n Θ, where a
j
(ω), j = 0,…, n are k groups of independent normally distributed random variables with means μ
i
and variances , i = 1,…, k. It is shown that in order to obtain our result we need charac-teristics, namely μ
i
and
, i = 1,…, k, to be any bounded absolute constants.
Mathematics Subject Classification:
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