School of Mathematical & Statistical Sciences Faculty Publications
Document Type
Article
Publication Date
9-13-2025
Abstract
In this paper, we have studied various mixed distributions generated by two uniform distributions: first, where the supports are two connected line segments, and second, where the supports are two disconnected line segments. For these mixed distributions, we have determined the optimal sets of n-means and the corresponding nth quantization errors for all positive integers n. The methods developed in this paper can be applied more generally to investigate optimal quantization for any mixed distribution P:=pP1+(1−p)P2, where P1 and P2 are arbitrary probability distributions supported on either connected or disconnected line segments, and (p,1−p) is any probability vector with 0
Recommended Citation
Barua, Asha, Gustavo Fernandez, Ashley Gomez, Ogla Lopez, and Mrinal Kanti Roychowdhury. "Quantization for the mixtures of uniform distributions on connected and disconnected line segments." Arabian Journal of Mathematics (2025): 1-20. https://doi.org/10.1007/s40065-025-00557-5
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Arabian Journal of Mathematics
DOI
10.1007/s40065-025-00557-5
Comments
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.