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ABSTRACT Based on the Shannon sampling theorem of multivariate functions, the upper bound of approximated error of homogeneous random field by local averages in the mean square sense is established.… Click to show full abstract
ABSTRACT Based on the Shannon sampling theorem of multivariate functions, the upper bound of approximated error of homogeneous random field by local averages in the mean square sense is established. The main result is that the approximation of weak sense stochastic process from local averages is extended to the case of random field. It is expected that one can obtain more precise local average sampling in oceanography, meteorology, geology with this theory.
Keywords:
homogeneous random;
random field;
field local;
approximation homogeneous;
local averages
Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017
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Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!