Large deviations of the empirical volume fraction for stationary Poisson grain models
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Publication:1774224
DOI10.1214/105051604000001007zbMath1067.60002arXivmath/0503479OpenAlexW1969016476MaRDI QIDQ1774224
Publication date: 29 April 2005
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503479
Geometric probability and stochastic geometry (60D05) Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Statistical thermodynamics (82B30)
Related Items (19)
Second Order Analysis of Geometric Functionals of Boolean Models ⋮ The method of cumulants for the normal approximation ⋮ Asymptotic results for multivariate estimators of the mean density of random closed sets ⋮ Multivariate Poisson distributions associated with Boolean models ⋮ Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ Mixing properties of stationary Poisson cylinder models ⋮ Introduction to Stochastic Geometry ⋮ Variance asymptotics for the area of planar cylinder processes generated by Brillinger-mixing point processes ⋮ Asymptotic behavior of mean density estimators based on a single observation: the Boolean model case ⋮ Joint estimators for the specific intrinsic volumes of stationary random sets ⋮ Moderate deviations for stabilizing functionals in geometric probability ⋮ Concentration inequalities for functionals of Poisson cylinder processes ⋮ An almost-Markov-type mixing condition and large deviations for Boolean models on the line ⋮ Concentration inequalities for measures of a Boolean model ⋮ On the Estimation of Integrated Covariance Functions of Stationary Random Fields ⋮ Central Limit Theorems for Volume and Surface Content of Stationary Poisson Cylinder Processes in Expanding Domains ⋮ The volume of simplices in high-dimensional Poisson-Delaunay tessellations ⋮ Second-order properties and central limit theorems for geometric functionals of Boolean models
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