Effective bandwidth
= Effective bandwidth
{title2=$\alpha(s,t)=\log\mathbb E[e^{sX(t)}]/(st)$}
Effective bandwidth describes the exponential-moment traffic rate at a specified time scale and tail parameter. Independent sources have additive effective bandwidths. The <Chernoff bound> connects their sum to overflow bounds. For a single time unit, the small-parameter limit is the <expected value> and the large-parameter limit is the <essential supremum>, with appropriate moment or extended-value conventions.