Optimal quantizers for some absolutely continuous probability measures

Authors

Mrinal Kanti Roychowdhury, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

4-2018

Abstract

The representation of a given quantity with less information is often referred to as `quantization' and it is an important subject in information theory. In this paper, we have considered absolutely continuous probability measures on unit discs, squares, and the real line. For these probability measures the optimal sets of n-means and the nth quantization errors are calculated for some positive integers n.

Comments

Original published version available at https://doi.org/10.14321/realanalexch.43.1.0105

Recommended Citation

Mrinal Kanti Roychowdhury. "Optimal Quantizers for some Absolutely Continuous Probability Measures." Real Anal. Exchange 43 (1) 105 - 136, 2018. https://doi.org/10.14321/realanalexch.43.1.0105

Publication Title

Real Analysis Exchange

DOI

10.14321/realanalexch.43.1.0105