Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 15, Issue 1


Published
on

March 1, 2020


Pages

105-142


DOI

Article

Quantization for a Mixture of Uniform Distributions Associated With Probability Vectors

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Authors

Mrinal Kanti Roychowdhury Affiliation:
Wasiela Salinas School of Mathematical and Statistical Sciences University of Texas Rio Grande Valley 1201 West University Drive Edinburg, TX 78539-2999, USA.
and Wasiela Salinas Affiliation:
School of Mathematical and Statistical Sciences University of Texas Rio Grande Valley 1201 West University Drive Edinburg, TX 78539-2999, USA.


Abstract

The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a prob- ability distribution to some finite set and thus approximation of a continuous probability distribution by a discrete distribution. Mixtures of probability distri- butions, also known as mixed distributions, are an exciting new area for optimal quantization. In this paper, we investigate the optimal quantization for three different mixed distributions generated by uniform distributions associated with probability vectors.


Keywords

Mixed distribution, uniform distribution, optimal sets, quantization error, quantization dimension, quantization coefficient.


Citation

Roychowdhury, M. K. & Salinas, W. (2020). Quantization for a mixture of uniform distributions associated with probability vectors. Uniform Distribution Theory, 15(1), 105–142. https://doi.org/10.2478/udt-2020-0006

Published by: Engineering Journals

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