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Geometrical measures of the smoothness of random functions
Published online by Cambridge University Press: 14 July 2016
Abstract
For stationary isotropic random functions on a Euclidean space, we characterize and compare the mean values of certain geometric measures of the smoothness of realizations. In particular we examine mean properties of the contours and gradients of the random function, and the effect of local averaging on smoothness in special cases.
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- Copyright © Applied Probability Trust 1976
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