Conditional quantization for uniform distributions on line segments and regular polygons
Probability
2025-03-24 v2
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 -sided regular polygons, where , inscribed in a unit circle.
Cite
@article{arxiv.2402.08036,
title = {Conditional quantization for uniform distributions on line segments and regular polygons},
author = {Pigar Biteng and Mathieu Caguiat and Tsianna Dominguez and Mrinal Kanti Roychowdhury},
journal= {arXiv preprint arXiv:2402.08036},
year = {2025}
}