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Gaussian random fields

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Publication:1144320
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DOI10.1007/BF01442902zbMath0443.60034MaRDI QIDQ1144320

C. Bromley, Gopinath Kallianpur

Publication date: 1980

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)


zbMATH Keywords

Gaussian random fieldsGohberg-Krein representationsnonanticipative representations


Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Continuity and singularity of induced measures (60G30)


Related Items (2)

Gaussian random fields ⋮ A test for the existence of Gohberg-Krein representations in terms of multiparameter Wiener processes



Cites Work

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  • Gaussian random fields
  • Non-anticipative representations of equivalent Gaussian processes
  • Stochastic integrals in the plane
  • Nonanticipative transformations of the two-parameter Wiener process and a Girsanov theorem
  • Representation of Gaussian processes equivalent to Wiener process
  • Canonical representations of Gaussian processes and their applications
  • Likelihood ratios and transformation of probability associated with two-parameter Wiener processes
  • An RKHS approach to detection and estimation problems-- III: Generalized innovations representations and a likelihood-ratio formula


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