An almost-Markov-type mixing condition and large deviations for Boolean models on the line

DOI10.1007/s10440-007-9105-2zbMath1134.60009OpenAlexW2025646369MaRDI QIDQ996736

Lothar Heinrich

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9105-2

zbMATH Keywords

thermodynamic limithigher-order covariancesmixed cumulantsPoisson grain model on the linetotal length of clumps

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Asymptotic properties of parametric tests (62F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

The method of cumulants for the normal approximation ⋮ Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes

Cites Work

• Large-deviation theorems for sums of dependent random variables. I
• Non-parametric estimation for the \(M/G/\infty\) queue
• Estimating diffusion coefficients from count data: Einstein-Smoluchowski theory revisited
• Large deviations of the empirical volume fraction for stationary Poisson grain models
• Normal convergence of multidimensional shot noise and rates of this convergence
• A method for the derivation of limit theorems for sums of weakly dependent random variables:a survey
• Some Problems in the Spectral Theory of Higher-Order Moments. I
• A method for the derivation of limit theorems for sums of m-dependent random variables
• Kernel estimation of the diameter distribution in boolean models with spherical grains
• On large deviations
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