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Estimating the reduced moments of a random measure
Published online by Cambridge University Press: 01 July 2016
Abstract
We consider a random measure for which distribution is invariant under the action of a standard transformation group. The reduced moments are defined by applying classical theorems on invariant measure decomposition. We present a general method for constructing unbiased estimators of reduced moments. Several asymptotic results are established under an extension of the Brillinger mixing condition. Examples related to stochastic geometry are given.
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- Type
- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 1999
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