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Estimating the reduced moments of a random measure
Published online by Cambridge University Press: 01 July 2016
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Random measures are commonly used to describe geometrical properties of random sets. Examples are given by the counting measure associated with a point process, and the curvature measures associated with a random set with a smooth boundary. We consider a random measure with an invariant distribution under the action of a standard transformation group (translatioris, rigid motions, translations along a given direction and so on). In the framework of the theory of invariant measure decomposition, the reduced moments of the random measure are obtained by decomposing the related moment measures.
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- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 1996
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