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2019 On central limit theorems in stochastic geometry for add-one cost stabilizing functionals
Khanh Duy Trinh
Electron. Commun. Probab. 24: 1-15 (2019). DOI: 10.1214/19-ECP279

Abstract

We establish central limit theorems for general functionals on binomial point processes and their Poissonized version, which extends the results of Penrose–Yukich (Ann. Appl. Probab. 11(4), 1005–1041 (2001)) to the inhomogeneous case. Here functionals are required to be strongly stabilizing for add-one cost on homogeneous Poisson point processes and to satisfy some moments conditions. As an application, a central limit theorem for Betti numbers of random geometric complexes in the subcritical regime is derived.

Citation

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Khanh Duy Trinh. "On central limit theorems in stochastic geometry for add-one cost stabilizing functionals." Electron. Commun. Probab. 24 1 - 15, 2019. https://doi.org/10.1214/19-ECP279

Information

Received: 18 April 2018; Accepted: 19 November 2019; Published: 2019
First available in Project Euclid: 13 December 2019

zbMATH: 07149361
MathSciNet: MR4049088
Digital Object Identifier: 10.1214/19-ECP279

Subjects:
Primary: 60D05, 60F05

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