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Asymptotic properties of estimators for random fields induced by stationary germ-grain models
For a class of random fields, which is associated with stationary germ-grain models via conditionally bounded valuations, a mean value estimator is discussed. Its mean-square consistency and asymptotic normality is proven under certain conditions imposed on the dependence structure of the underlying point process and the grain distribution. For the Boolean model simple sufficient conditions on the grain distribution are derived, which guarantee the asymptotic normality using a central limitdoi:10.18725/oparu-390 fatcat:nxfcrj226ncvbhjudprqnan5w4