Quantization coefficients for uniform distributions on the boundaries of regular polygons

Authors

Joel Hansen, The University of Texas Rio Grande Valley
Itzamar Marquez, The University of Texas Rio Grande Valley
Mrinal Kanti Roychowdhury, The University of Texas Rio Grande ValleyFollow
Eduardo Torres, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

6-2021

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.

Comments

Original published version available at https://doi.org/10.1016/j.spl.2021.109060

Recommended Citation

Hansen, Joel, Itzamar Marquez, Mrinal K. Roychowdhury, and Eduardo Torres. "Quantization coefficients for uniform distributions on the boundaries of regular polygons." Statistics & Probability Letters 173 (2021): 109060. https://doi.org/10.1016/j.spl.2021.109060

Publication Title

Statistics & Probability Letters

DOI

10.1016/j.spl.2021.109060