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Expected number of zeros of a random trigonometric polynomial

Author:

Dr. Mishra, P. K. and Mansingh, A. K.

Subject Area:

Physical Sciences and Engineering

Abstract:

The asymptotic estimates of the expected number of real zeros of the polynomial where gj(j=1,2,…..n) is a sequence of independent normally distributed random variables is such a number. To achieve the result we first present a general formula for the covariance of the number of real zeros of any normal process, e(t), occurring in any two disjoint intervals. A formula for the variance of the number of real zeros of e(t) follows from this result.

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