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arXiv · 2008.02681

Quantization coefficients for uniform distributions on the boundaries of regular polygons

Joel Hansen·Itzamar Marquez·Mrinal K. Roychowdhury·Eduardo Torres
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Abstract

In this paper, we give a general formula to determine the quantization coefficients for uniform distributions defined on the boundaries of different regular $m$-sided polygons inscribed in a circle. The result shows that the quantization coefficient for the uniform distribution on the boundary of a regular $m$-sided polygon inscribed in a circle is an increasing function of $m$, and approaches to the quantization coefficient for the uniform distribution on the circle as $m$ tends to infinity.

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Joel Hansen, Itzamar Marquez, Mrinal K. Roychowdhury, Eduardo Torres. 2021-02-19. Quantization coefficients for uniform distributions on the boundaries of regular polygons. https://arxiv.org/abs/2008.02681

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