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Quantization coefficients for uniform distributions on the boundaries of regular polygons

Author

Listed:
  • Hansen, Joel
  • Marquez, Itzamar
  • Roychowdhury, Mrinal K.
  • Torres, Eduardo

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.

Suggested Citation

  • Hansen, Joel & Marquez, Itzamar & Roychowdhury, Mrinal K. & Torres, Eduardo, 2021. "Quantization coefficients for uniform distributions on the boundaries of regular polygons," Statistics & Probability Letters, Elsevier, vol. 173(C).
    • Handle: RePEc:eee:stapro:v:173:y:2021:i:c:s0167715221000225
    DOI: 10.1016/j.spl.2021.109060
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    References listed on IDEAS

    as
    1. Gabriela Pena & Hansapani Rodrigo & Mrinal Kanti Roychowdhury & Josef Sifuentes & Erwin Suazo, 2021. "Quantization for Uniform Distributions on Hexagonal, Semicircular, and Elliptical Curves," Journal of Optimization Theory and Applications, Springer, vol. 188(1), pages 113-142, January.
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