Generalization of the edge-constrained asymptotic law to broad distributions

Extend the probabilistic [?] Zador-form asymptotic law for edge-constrained quantization to general bandwidth distributions, including distributions with atoms arising from rate-capped service tiers.

Background

The paper proves a high-resolution limit for the quality gap of edge-constrained adaptive-bitrate ladders under continuously differentiable density and quality assumptions on a compact interval. The authors identify this result as the probabilistic analogue of classical Zador theory for the one-sided, edge-constrained setting.

They explicitly note that practical rate-capped service tiers can produce bandwidth distributions with atoms, a case not covered by the stated proposition. Extending the theorem to this broader distributional setting would establish a more general asymptotic theory for adaptive streaming ladders.