Central limit theorems for functionals of stationary germ-grain models

DOI10.1239/aap/1143936141zbMath1104.60010OpenAlexW2154842954MaRDI QIDQ5475390

Volker Schmidt, Ursa Pantle, Evgueni Spodarev

Publication date: 19 June 2006

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1143936141

zbMATH Keywords

asymptotic normality\(\beta\)-mixingEuler numbervaluationBoolean modelstationary random fieldspecific intrinsic volumeRandom closed set\(m\)-dependent random field

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05)

Related Items (2)

Central limit theorems for Poisson hyperplane tessellations ⋮ On the Estimation of Integrated Covariance Functions of Stationary Random Fields

Cites Work

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• Mixing: Properties and examples
• Normal approximation for some mean-value estimates of absolutely regular tessellations
• Asymptotic properties of minimum contrast estimators for parameters of Boolean models
• Joint estimators for the specific intrinsic volumes of stationary random sets
• Asymptotic Behaviour of an Empirical Nearest-Neighbour Distance Function for Stationary Poisson Cluster Processes
• Asymptotic properties of stereological estimators of volume fraction for stationary random sets
• Asymptotic properties of estimators for the volume fractions of jointly stationary random sets
• Central limit theorem for a class of random measures associated with germ-grain models

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