Central limit theorems for \(U\)-statistics of Poisson point processes. Zbl 1293.60061
Reitzner, Matthias; Schulte, Matthias |
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2013
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Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization. Zbl 1347.60012
Last, Günter; Peccati, Giovanni; Schulte, Matthias |
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2016
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Moments and central limit theorems for some multivariate Poisson functionals. Zbl 1350.60020
Last, Günter; Penrose, Mathew D.; Schulte, Matthias; Thäle, Christoph |
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2014
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Normal approximation for stabilizing functionals. Zbl 1466.60047
Lachièze-Rey, Raphaël; Schulte, Matthias; Yukich, J. E. |
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2019
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry. Zbl 1347.60027
Decreusefond, Laurent; Schulte, Matthias; Thäle, Christoph |
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2016
|
Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013
Hug, Daniel; Last, Günter; Schulte, Matthias |
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2016
|
Normal approximation of Poisson functionals in Kolmogorov distance. Zbl 1335.60027
Schulte, Matthias |
|
2016
|
The scaling limit of Poisson-driven order statistics with applications in geometric probability. Zbl 1262.60031
Schulte, Matthias; Thäle, Christoph |
|
2012
|
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph |
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2017
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A central limit theorem for the Poisson-Voronoi approximation. Zbl 1253.60008
Schulte, Matthias |
|
2012
|
Multivariate second order Poincaré inequalities for Poisson functionals. Zbl 1430.60030
Schulte, Matthias; Yukich, J. E. |
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2019
|
Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem. Zbl 1334.60032
Schulte, Matthias; Thäle, Christoph |
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2016
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The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation. Zbl 1476.60053
Last, Günter; Nestmann, Franz; Schulte, Matthias |
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2021
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Poisson point process convergence and extreme values in stochastic geometry. Zbl 1528.60050
Schulte, Matthias; Thäle, Christoph |
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2016
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Poisson process approximation under stabilization and Palm coupling.
(Approximation par processus de Poisson sous stabilisation et couplage de Palm.) Zbl 1506.60019
Bobrowski, Omer; Schulte, Matthias; Yogeshwaran, D. |
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2022
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Distances between Poisson \(k\)-flats. Zbl 1319.60018
Schulte, Matthias; Thäle, Christoph |
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2014
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Rates of multivariate normal approximation for statistics in geometric probability. Zbl 1522.60022
Schulte, Matthias; Yukich, J. E. |
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2023
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Central limit theorems for the radial spanning tree. Zbl 1359.05112
Schulte, Matthias; Thäle, Christoph |
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2017
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Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations. Zbl 1490.60057
Pianoforte, Federico; Schulte, Matthias |
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2022
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Testing multivariate uniformity based on random geometric graphs. Zbl 1459.62085
Ebner, Bruno; Nestmann, Franz; Schulte, Matthias |
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2020
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Poisson approximation with applications to stochastic geometry. Zbl 1483.60040
Pianoforte, Federico; Schulte, Matthias |
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2021
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Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023
Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias |
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2017
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Normal approximation of Kabanov-Skorohod integrals on Poisson spaces. Zbl 07865966
Last, G.; Molchanov, I.; Schulte, M. |
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2024
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Large degrees in scale-free inhomogeneous random graphs. Zbl 1496.60054
Bhattacharjee, Chinmoy; Schulte, Matthias |
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2022
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Normal approximation of Kabanov-Skorohod integrals on Poisson spaces. Zbl 07865966
Last, G.; Molchanov, I.; Schulte, M. |
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2024
|
Rates of multivariate normal approximation for statistics in geometric probability. Zbl 1522.60022
Schulte, Matthias; Yukich, J. E. |
|
2023
|
Poisson process approximation under stabilization and Palm coupling.
(Approximation par processus de Poisson sous stabilisation et couplage de Palm.) Zbl 1506.60019
Bobrowski, Omer; Schulte, Matthias; Yogeshwaran, D. |
|
2022
|
Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations. Zbl 1490.60057
Pianoforte, Federico; Schulte, Matthias |
|
2022
|
Large degrees in scale-free inhomogeneous random graphs. Zbl 1496.60054
Bhattacharjee, Chinmoy; Schulte, Matthias |
|
2022
|
The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation. Zbl 1476.60053
Last, Günter; Nestmann, Franz; Schulte, Matthias |
|
2021
|
Poisson approximation with applications to stochastic geometry. Zbl 1483.60040
Pianoforte, Federico; Schulte, Matthias |
|
2021
|
Testing multivariate uniformity based on random geometric graphs. Zbl 1459.62085
Ebner, Bruno; Nestmann, Franz; Schulte, Matthias |
|
2020
|
Normal approximation for stabilizing functionals. Zbl 1466.60047
Lachièze-Rey, Raphaël; Schulte, Matthias; Yukich, J. E. |
|
2019
|
Multivariate second order Poincaré inequalities for Poisson functionals. Zbl 1430.60030
Schulte, Matthias; Yukich, J. E. |
|
2019
|
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph |
|
2017
|
Central limit theorems for the radial spanning tree. Zbl 1359.05112
Schulte, Matthias; Thäle, Christoph |
|
2017
|
Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023
Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias |
|
2017
|
Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization. Zbl 1347.60012
Last, Günter; Peccati, Giovanni; Schulte, Matthias |
|
2016
|
Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry. Zbl 1347.60027
Decreusefond, Laurent; Schulte, Matthias; Thäle, Christoph |
|
2016
|
Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013
Hug, Daniel; Last, Günter; Schulte, Matthias |
|
2016
|
Normal approximation of Poisson functionals in Kolmogorov distance. Zbl 1335.60027
Schulte, Matthias |
|
2016
|
Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem. Zbl 1334.60032
Schulte, Matthias; Thäle, Christoph |
|
2016
|
Poisson point process convergence and extreme values in stochastic geometry. Zbl 1528.60050
Schulte, Matthias; Thäle, Christoph |
|
2016
|
Moments and central limit theorems for some multivariate Poisson functionals. Zbl 1350.60020
Last, Günter; Penrose, Mathew D.; Schulte, Matthias; Thäle, Christoph |
|
2014
|
Distances between Poisson \(k\)-flats. Zbl 1319.60018
Schulte, Matthias; Thäle, Christoph |
|
2014
|
Central limit theorems for \(U\)-statistics of Poisson point processes. Zbl 1293.60061
Reitzner, Matthias; Schulte, Matthias |
|
2013
|
The scaling limit of Poisson-driven order statistics with applications in geometric probability. Zbl 1262.60031
Schulte, Matthias; Thäle, Christoph |
|
2012
|
A central limit theorem for the Poisson-Voronoi approximation. Zbl 1253.60008
Schulte, Matthias |
|
2012
|