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Non-stationary random set processes with application to pattern reconstruction

Published online by Cambridge University Press:  14 July 2016

Marc Moore
Marc Moore*
Affiliation:
Ecole Polytechnique, Montreal
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Abstract

Examples of non-stationary random set processes are presented. The reconstruction of a pattern, generated by such a process, is studied; a particular arrangement of the sample-points is considered.

Keywords

NON-STATIONARYANISOTROPICRANDOM SET PROCESSESPATTERNRECONSTRUCTIONNEAREST-POINT RULE
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 857 - 863
Copyright
Copyright © Applied Probability Trust 1973 

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References

Cover, T. M. and Efron, B. (1967) Geometrical probability and random points on a hypersphere. Ann. Math. Statist. 38, 213–220.Google Scholar
Matern, B. (1960) Spatial variation. Medd. Statens Skogsforskningsinstit 49, 1–144.Google Scholar
Moore, M. (1972) Consistency in the reconstruction of patterns from sample data. Canad. Math. Bull. 15, 305–307.Google Scholar
Switzer, P. (1965) A random set process with a Markovian property. Ann. Math. Statist. 36, 1859–1863.Google Scholar
Switzer, P. (1967) Reconstructing patterns from sample data. Ann. Math. Statist. 38, 138154.Google Scholar