Constrained quantization for the Cantor distribution with a family of constraints

Authors

Megha Pandey
Mrinal Kanti Roychowdhury, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2024

Abstract

In this paper, for a given family of constraints and the classical Cantor distribution we determine the constrained optimal sets of n-points, nth constrained quantization errors for all positive integers n. We also calculate the constrained quantization dimension and the constrained quantization coefficient, and see that the constrained quantization dimension D(P) exists as a finite positive number, but the D(P)-dimensional constrained quantization coefficient does not exist.

Recommended Citation

Pandey, Megha, and Mrinal Kanti Roychowdhury. "Constrained quantization for the Cantor distribution with a family of constraints." arXiv preprint arXiv:2401.01958 (2024).