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arxiv: 1503.05379 · v1 · pith:IJD4T2WInew · submitted 2015-03-18 · 🧮 math.PR

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

classification 🧮 math.PR
keywords processcovariancecriterionfunctiongaussianhypothesesstationarystochastic
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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 $L_p(\mathbb {T}),\,p\geq1$, is constructed.

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