OPTIMAL QUANTIZERS FOR SOME ABSOLUTELY CONTINUOUS PROBABILITY MEASURES

Mrinal Kanti Roychowdhury

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OPTIMAL QUANTIZERS FOR SOME ABSOLUTELY CONTINUOUS PROBABILITY MEASURES

机译：某些绝对连续概率度量的最佳量化器

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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 nth quantization errors are calculated for some positive integers n.

机译：用较少的信息表示给定数量的表示通常称为“量化”，这是信息论中的重要主题。在本文中，我们考虑了单位圆盘，正方形和实线上的绝对连续概率测度。对于这些概率测度，为一些正整数n计算了最佳的n均值集和第n个量化误差。

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来源
《Real analysis exchange》 |2018年第1期|105-136|共32页
作者
Mrinal Kanti Roychowdhury;
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作者单位

School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, 1201 West University Drive, Edinburg, TX 78539-2999, USA;

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原文格式 PDF
正文语种 eng
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关键词
Uniform and nonuniform distribution; optimal quantizers; quantization error;

机译：均匀和非均匀分布;最佳量化器;量化误差;

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3. APPROXIMATION BY ABSOLUTELY CONTINUOUS INVARIANT MEASURES OF ITERATED FUNCTION SYSTEMS WITH PLACE-DEPENDENT PROBABILITIES [J] . Islam Md Shafiqul, Chandler Stephen Fractals: An interdisciplinary journal on the complex geometry of nature . 2015,第4期

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OPTIMAL QUANTIZERS FOR SOME ABSOLUTELY CONTINUOUS PROBABILITY MEASURES

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