Asymptotics of the maximal radius of an \(L^{r}\)-optimal sequence of quantizers

DOI10.3150/10-BEJ333zbMath1245.60052arXiv0806.0918MaRDI QIDQ408108

Gilles Pagès, Abass Sagna

Publication date: 29 March 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0918

zbMATH Keywords

optimal quantizationdistribution tailfunction with regular variationmaximal radius of a quantizerZador theorem

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Limit theorems in probability theory (60F99)

Related Items (7)

Properties and generation of representative points of the exponential distribution ⋮ Convergence rate of optimal quantization grids and application to empirical measure ⋮ Best finite constrained approximations of one-dimensional probabilities ⋮ Limiting behavior of the gap between the largest two representative points of statistical distributions ⋮ The local quantization behavior of absolutely continuous probabilities ⋮ Sharp Rate for the Dual Quantization Problem ⋮ Pointwise Convergence of the Lloyd I Algorithm in Higher Dimension

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