School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
7-31-2022
Abstract
Quantization for probability distributions concerns the best approximation of a d-dimensional probability distribution P by a discrete probability with a given number n of supporting points. In this paper, we have considered a probability measure generated by an infinite iterated function system associated with a probability vector on ℝ. For such a probability measure P, an induction formula to determine the optimal sets of n-means and the nth quantization error for every natural number n is given. In addition, using the induction formula we give some results and observations about the optimal sets of n-means for all n ≥ 2.
Recommended Citation
Roychowdhury, Lakshmi, and Mrinal Kanti Roychowdhury. "Quantization for a probability distribution generated by an infinite iterated function system." Communications of the Korean Mathematical Society 37, no. 3 (2022): 765-800. http://doi.org/10.4134/CKMS.C210266
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Publication Title
Communications of the Korean Mathematical Society
DOI
10.4134/CKMS.C210266
Comments
Copyright 2022 Korean Mathematical Society
The person using Journal of the Korean Mathematical Society Online may use, reproduce, disseminate, or display the open access version of content from this journal for non-commercial purposes.