Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes
Author:
Affiliation:
1. Ruhr University Bochum, Germany
2. Hamburg University of Technology
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference42 articles.
1. Baci, A., Betken, C., Gusakova, A. and Thäle, C.: Concentration inequalities for functionals of stationary Poisson cylinder processes. Electron. J. Probab. 25, article 128 (2020).
2. Baddeley, A.: A limit theorem for statistics of spatial data. Adv. in Appl. Probab. 12, 447–461 (1980).
3. Basse-O’Connor, A., Podolskij, M. and Thäle, C.: A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages. Electron. J. Probab. 25, article 31 (2020).
4. Besau, F. and Thäle, C.: Asymptotic normality for random polytopes in non-Euclidean geometries. Trans. Amer. Math. Soc. 373, 8911–8941 (2020).
5. Besau, F., Rosen, D. and Thäle, C.: Random inscribed polytopes in projective geometries. Math. Ann. 381, 1345–1372 (2021).
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