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Expected Number of Slope Crossings of Certain Gaussian Random Polynomials

Expected Number of Slope Crossings of Certain Gaussian Random Polynomials

Abstract Let be a random polynomial where the coefficients A 0, A 1,… form a sequence of centered Gaussian random variables. Moreover, assume that the increments Δ j = A j − A j−1, j = 0, 1, 2,… are independent, assuming A −1 = 0. The coefficients can be …