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math.PR2019
Asymptotic normality for random polytopes in non-Euclidean geometries
Florian Besau, Christoph Thäle
Asymptotic normality for the natural volume measure of random polytopes generated by random points distributed uniformly in a convex body in spherical or hyperbolic spaces is prove…
math.MG2019
Asymptotic normality for random simplices and convex bodies in high dimensions
David Alonso-Gutiérrez, Florian Besau, Julian Grote +5
Central limit theorems for the log-volume of a class of random convex bodies in are obtained in the high-dimensional regime, that is, as . In particular,…
math.PR2019★ 2 cited
A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages
Andreas Basse-O'Connor, Mark Podolskij, Christoph Thäle
In this paper we obtain Berry-Esseén bounds on partial sums of functionals of heavy-tailed moving averages, including the linear fractional stable noise, stable fractional ARIMA pr…