Title of article
Quantization of probability distributions under norm-based distortion measures II: Self-similar distributions
Author/Authors
Sylvain Delattre، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
10
From page
507
To page
516
Abstract
For a probability measure P on Rd and n ∈ N consider en = inf mina∈α V ( x − a )dP(x)
where the infimum is taken over all subsets α of Rd with card(α) n and V is a nondecreasing
function. Under certain conditions on V , we derive the precise n-asymptotics of en for self-similar
distributions P and we find the asymptotic performance of optimal quantizers using weighted empirical
measures.
2005 Elsevier Inc. All rights reserved
Keywords
Weak convergence , Local distortion , Norm-difference distortion , Self-similar measures , Empiricalmeasure , High-rate vector quantization , Point density measure
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934542
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