Convergence rate for geometric statistics of point processes having fast decay of dependence
Author:
Affiliation:
1. Jilin University, China University of Melbourne, Australia. National University of Singapore, Singapore.
2. University of Melbourne, Australia
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference59 articles.
1. Avram, F. and Bertsimas, D. (1993). On central limit theorems in geometrical probability. Ann. Appl. Probab. 3, 1033–1046.
2. Baddeley, A., Gregori, P., Mateu, J., Stoica, R., and Stoyan, D. (2005). Case studies in spatial point process models. Lecture Notes in Statistics 185, Springer-Verlag, New-York.
3. Barbour, A. D. (1988). Stein’s method and Poisson process convergence. J. Appl. Probab. 25 (A), 175–184.
4. Barbour, A. D. and Brown, T. C. (1992). Stein’s method and point process approximation. Stochastic Process. Appl. 43, 9–31.
5. Beardwood, J., Halton, J. and Hammersley, J. (1959). The shortest path through many points. Math. Proc. Camb. Philos. Soc. 55, 299–327.
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