Probabilities of randomly centered small balls and quantization in Banach spaces

被引：7

作者：

Dereich, S

Lifshits, MA

机构：

[1] Tech Univ Berlin, Math Inst, D-10623 Berlin, Germany

[2] St Petersburg State Univ, Stary Peterhof 198504, Russia

来源：

ANNALS OF PROBABILITY | 2005年 / 33卷 / 04期

关键词：

high-resolution quantization; small ball probabilities; small deviations; asymptotic equipartition property;

D O I：

10.1214/009117905000000161

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We investigate the Gaussian small ball probabilities with random centers, find their deterministic a.s.-equivalents and establish a relation to infinite-dimensional high-resolution quantization.

引用

页码：1397 / 1421

页数：25

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