A criterion for testing hypotheses about the covariance function of a stationary Gaussian stochastic process

preprint2015arXivOpen access

Abstract

We consider a measurable stationary Gaussian stochastic process. A criterion for testing hypotheses about the covariance function of such a process using estimates for its norm in the space Lp(T), p≥1L_p(\mathbb {T}),\,p\geq1, is constructed.

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