Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

5-24-2022

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

Comments

© Korean Mathematical Society. The person using Communications 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

Creative Commons License

Creative Commons Attribution-NonCommercial 4.0 International License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License

Publication Title

Commun. Korean Math. Soc.

DOI

10.4134/CKMS.c210266

Included in

Mathematics Commons

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