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Can I read Asymptotics of Optimal Quantizers for Some Scalar Distributions on EtoBox?
Asymptotics of Optimal Quantizers for Some Scalar Distributions by Jean-Claude Fort; Gilles Pagès is a Mathematics article available to read on EtoBox.
What is Asymptotics of Optimal Quantizers for Some Scalar Distributions about?
We obtain semi-closed forms for the optimal quantizers of some families of one-dimensional probability distributions. They yield the ÿrst examples of non-log-concave distributions for which uniqueness holds. We give two types of applications of these results. One is a fast computation of numerical approximations of one-dimensional optimal quantizers and their use in a multidimensional framework. The other is some asymptotics of the standard empirical measures associated to the optimal quantizers in terms of distribution function, Laplace transform and characteristic function. Moreover, we obtain the rate of convergence in the Bucklew & Wise Theorem and ÿnally the asymptotic size of the Voronoi tessels.
Who reads Asymptotics of Optimal Quantizers for Some Scalar Distributions?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jean-Claude Fort; Gilles Pagès
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)