Conditional Quantization for Uniform Distributions on Line Segments and Regular Polygons

Author

Tsianna Danielle Dominguez, The University of Texas Rio Grande Valley

Date of Award

5-2024

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Mrianl Roychowdhury

Second Advisor

Erwin Suazo

Third Advisor

Josef Sifuentes

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 thesis, we have investigated 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

Copyright 2024 Tsianna Danielle Dominguez.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/pqdtglobal1/dissertations-theses/conditional-quantization-uniform-distributions-on/docview/3085279723/sem-2?accountid=7119

Recommended Citation

Dominguez, Tsianna Danielle, "Conditional Quantization for Uniform Distributions on Line Segments and Regular Polygons" (2024). Theses and Dissertations. 1518.
https://scholarworks.utrgv.edu/etd/1518