Optimal Quantization for Mixtures of Two Uniform Distributions

Author

Eduardo Orozco, The University of Texas Rio Grande Valley

Date of Award

5-2021

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Mrinal Kanti Roychowdhury

Second Advisor

Dr. Santanu Chakraborty

Third Advisor

Dr. Hansapani Rodrigo

Abstract

The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus approximation of a continuous probability distribution by a discrete distribution. Mixtures of probability distributions, also known as mixed distributions, are an exciting new area for optimal quantization. In this thesis, for a mixed distribution we determine the optimal sets of n-means and the nth quantization errors for all positive integers n.

Comments

Copyright 2021 Eduardo Orozco. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/optimal-quantization-mixtures-two-uniform/docview/2562232713/se-2?accountid=7119

Recommended Citation

Orozco, Eduardo, "Optimal Quantization for Mixtures of Two Uniform Distributions" (2021). Theses and Dissertations. 929.
https://scholarworks.utrgv.edu/etd/929