Inequalities for the variance of the number of zeros of some stationary Gaussian processes (Q864410)

The numerical computation for the moments (thus variance) of the number of zeros for a random process has significant applications. In several previous papers, the author obtained, for two stationary Gaussian processes, the representation of the second moment (and variance) via elementary functions. The explicit formulas of the second-order moment for the two classes of stationary Gaussian processes are used to provide explicit inequalities, thus estimations, of the moment (and variance) for Markov and recurrent processes of the first-order, with concrete parameters of the correlation functions derived from the author's more general moment representation results.