Abstract
In this chapter we consider different problems of statistical diagnosis for random functions with a vector argument, i.e., for random fields. The problems analogous to those analysed in preceding chapters for a scalar argument will be investigated: the problems of retrospective diagnosis, i.e., construction of a line (surface) which divides a random field into parts with different probabilistic characteristics; on-line diagnosis problems, i.e., sequential detection of changes in probabilistic characteristics of a random field, and ‘contamination’ problems, i.e., detection of ‘abnormal’ observations in realizations of random fields.
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© 2000 Springer Science+Business Media Dordrecht
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Brodsky, B.E., Darkhovsky, B.S. (2000). Statistical diagnosis problems for random fields. In: Non-Parametric Statistical Diagnosis. Mathematics and Its Applications, vol 509. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9530-8_6
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DOI: https://doi.org/10.1007/978-94-015-9530-8_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5465-4
Online ISBN: 978-94-015-9530-8
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