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Criterion for testing of hypotheses on covariance functions of homogeneous and isotropic Gaussian random fields. (Ukrainian. English summary) Zbl 1062.62163
Summary: With the help of inequalities for distributions of quadratic forms and their mean-square limits from square-Gaussian random variables, a criterion for testing hypotheses on covariance functions of homogeneous and isotropic mean-square continuous Gaussian random fields is proposed.
MSC:
62M07 Non-Markovian processes: hypothesis testing
60E15 Inequalities; stochastic orderings
62H10 Multivariate distribution of statistics
62M40 Random fields; image analysis
60G15 Gaussian processes
60G60 Random fields
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