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Testing the covariance function of stationary Gaussian random fields

Ali Reza Taheriyoun

Statistics & Probability Letters, 2012, vol. 82, issue 3, 606-613

Abstract: In many problems, a specific function like h(⋅) is considered as the covariance function. Based on the asymptotic distribution of the periodogram and Euler characteristic, three methods are introduced to test the equality of the covariance function with h(⋅). Our analyses prove the accuracy of the power and scaling laws for the covariance function of metal surfaces.

Keywords: Differential topology; Euler characteristic; Gaussian random fields; Periodogram; Stationarity (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2011.11.014

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