Central limit theory for the number of seeds in a growth model in \(\mathbb{R}^ d\) with inhomogeneous Poisson arrivals

DOI10.1214/aoap/1034801254zbMath0888.60016OpenAlexW2032523230WikidataQ115374773 ScholiaQ115374773MaRDI QIDQ1371007

S. N. Chiu, Malcolm Quine

Publication date: 1 June 1998

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1034801254

zbMATH Keywords

central limit theoreminvariance principleinhomogeneous Poisson processJohnson-Mehl modelstrongly mixing random field

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (13)

Limit theory for random sequential packing and deposition ⋮ Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs ⋮ Rare events in stochastic partial differential equations on large spatial domains ⋮ Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points ⋮ Limit theorems for functionals on the facets of stationary random tessellations ⋮ Percolation on random Johnson-Mehl tessellations and related models ⋮ Refined distributional approximations for the uncovered set in the Johnson-Mehl model. ⋮ Limit theorems for monotonic particle systems and sequential deposition. ⋮ Moderate deviations for stabilizing functionals in geometric probability ⋮ Nonparametric and Parametric Estimation for a Linear Germination‐Growth Model ⋮ Gaussian limits for random measures in geometric probability ⋮ Normal approximation for statistics of Gibbsian input in geometric probability ⋮ Moderate deviations for some point measures in geometric probability

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