Cressie, Noel; Laslett, G. M. Random set theory and problems of modeling. (English) Zbl 0646.62086 SIAM Rev. 29, 557-574 (1987). From the authors’ abstract: “The purpose of this article is to show the potentials and limitations of a probabilistic and statistical approach. Collections of objects (the data) are assimilated to a random set (the model), whose parameters provide description and/or explanation.” The main tool used is Matheron’s ‘hit or miss topology’ on the closed sets of the underlying space. Reviewer: T.S.Pitcher Cited in 14 Documents MSC: 62M99 Inference from stochastic processes 62P99 Applications of statistics 60D05 Geometric probability and stochastic geometry Keywords:Boolean model; hitting function; random set limit theory; random fields; hit or miss topology PDFBibTeX XMLCite \textit{N. Cressie} and \textit{G. M. Laslett}, SIAM Rev. 29, 557--574 (1987; Zbl 0646.62086) Full Text: DOI Link