Lebesgue decomposition of probability measures: applications to equivalence, singularity and Kriging

DOI10.1016/J.EXMATH.2018.06.006zbMath1405.60052OpenAlexW2810472198MaRDI QIDQ1756141

Vidyadhar Mandrekar

Publication date: 11 January 2019

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2018.06.006

zbMATH Keywords

Lebesgue decompositionproduct measuresKrigingGaussian random fieldsequivalence and singularity

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Gaussian processes (60G15) Continuity and singularity of induced measures (60G30)

Cites Work

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• Quasi-invariance of measures under translation
• Interpolation of spatial data. Some theory for kriging
• Unendlichdimensionale Gauss'sche Verteilungen
• On equivalence of infinite product measures
• Examples of Non-Gaussian Quasi-Invariant Distributions in Hilbert Space
• Radon-Nikodym Derivatives of Gaussian Measures
• Note on the Tightness of the Metric on the Set of Complete Sub $\sigma$-Algebras of a Probability Space

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