Real Analysis Exchange

Optimal Quantizers for some Absolutely Continuous Probability Measures

Mrinal Kanti Roychowdhury

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The representation of a given quantity with less information is often referred to as ‘quantization’ and it is an important subject in information theory. In this paper, we have considered absolutely continuous probability measures on unit discs, squares, and the real line. For these probability measures the optimal sets of \(n\)-means and the \(n\)th quantization errors are calculated for some positive integers \(n\).

Article information

Real Anal. Exchange, Volume 43, Number 1 (2018), 105-136.

First available in Project Euclid: 2 May 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60Exx: Distribution theory [See also 62Exx, 62Hxx] 94A34: Rate-distortion theory
Secondary: 62Exx: Distribution theory [See also 60Exx]

Uniform and nonuniform distributions optimal quantizers quantization error


Roychowdhury, Mrinal Kanti. Optimal Quantizers for some Absolutely Continuous Probability Measures. Real Anal. Exchange 43 (2018), no. 1, 105--136. doi:10.14321/realanalexch.43.1.0105.

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