Brownian limits, local limits and variance asymptotics for convex hulls in the ball
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Publication:1942111
DOI10.1214/11-AOP707zbMath1278.60020arXiv0912.4339MaRDI QIDQ1942111
Tomasz Schreiber, Pierre Calka, Joseph E. Yukich
Publication date: 15 March 2013
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.4339
stabilizationBrownian sheetPoisson processrandom convex hullsparaboloid growth processparaboloid hull process
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Cites Work
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- Central limit theorems for random polygons in an arbitrary convex set
- Sharp concentration of random polytopes
- Central limit theorems for random polytopes in a smooth convex set
- Poisson polytopes
- Random approximation of convex bodies
- On the asymptotic distribution of the area outside a random convex hull in a disk
- Gaussian limits for random measures in geometric probability
- Weak laws of large numbers in geometric probability
- Central limit theorems for some graphs in computational geometry.
- Normal approximation under local dependence.
- A course on point processes
- Variance asymptotics for random polytopes in smooth convex bodies
- Gaussian limits for random geometric measures
- Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points
- Laws of large numbers in stochastic geometry with statistical applications
- Central limit theorems for random polytopes
- Weak dependence. With examples and applications.
- Intrinsic volumes of inscribed random polytopes in smooth convex bodies
- Stochastic and Integral Geometry
- The distribution of the convex hull of a Gaussian sample
- Random approximation of convex sets*
- Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
- [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
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