Conditional Quantization for Uniform Distributions on Line Segments and Regular Polygons

Authors

Pigar Biteng
Mathieu Caguiat
Tsianna Dominguez
Mrinal Kanti Roychowdhury, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

3-21-2025

Abstract

Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If, in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and m-sided regular polygons, where 𝑚≥3, inscribed in a unit circle.

Comments

© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

Recommended Citation

Biteng, Pigar, Mathieu Caguiat, Tsianna Dominguez, and Mrinal Kanti Roychowdhury. 2025. "Conditional Quantization for Uniform Distributions on Line Segments and Regular Polygons" Mathematics 13, no. 7: 1024. https://doi.org/10.3390/math13071024

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Mathematics