Stein's method and Poisson process approximation for a class of Wasserstein metrics
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Publication:605875
DOI10.3150/08-BEJ161zbMath1204.60039arXiv0706.1172MaRDI QIDQ605875
Publication date: 15 November 2010
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.1172
Stein's methodPoisson point processdistributional approximation\(L_p\)-Wasserstein metricBarbour-Brown metric
Approximations to statistical distributions (nonasymptotic) (62E17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Limit theorems in probability theory (60F99)
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Cites Work
- Distance estimates for dependent thinnings of point processes with densities
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Stein's method and point process approximation
- On Stein's method and point process approximation
- Upper bounds for spatial point process approximations
- Stein's method and birth-death processes
- Removing logarithms from Poisson process error bounds.
- Stein's method, Palm theory and Poisson process approximation.
- On Stein-Chen factors for Poisson approximation
- Number of nearest neighbors in a Euclidean code
- An Introduction to Stein's Method
- On metrics in point process approximation
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