Central limit theorems for functionals of stationary germ-grain models
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Publication:5475390
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
asymptotic normality\(\beta\)-mixingEuler numbervaluationBoolean modelstationary random fieldspecific intrinsic volumeRandom closed set\(m\)-dependent random field
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
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- 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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