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Space and space-time modeling using process convolutions. (English) Zbl 1255.86016
Anderson, Clive W. (ed.) et al., Quantitative methods for current environmental issues. Joint conference, Univ. of Sheffield, GB, September 4–8, 2000. London: Springer (ISBN 1-85233-294-8). 37-56 (2002).
Summary: A continuous spatial model can be constructed by convolving a very simple, perhaps independent, process with a kernel or point spread function. This approach for constructing a spatial process offers a number of advantages over specification through a spatial covariogram. In particular, this process convolution specification leads to computational simplifications and easily extends beyond simple stationary models. This paper uses process convolution models to build spare and spare-time models that are flexible and able to accommodate large amounts of data. Data from environmental monitoring is considered
For the entire collection see [Zbl 0983.00047].

86A32 Geostatistics
62P12 Applications of statistics to environmental and related topics