Class D process
= Class D process
{c}
{title2=$\{X_\tau:\tau\leq T\text{ a stopping time}\}\text{ is uniformly integrable}$}
= Class D
{c}
{synonym}
On a finite time horizon, an adapted process is of class D if its values at all stopping times in that horizon form a <uniformly integrable> family. Deterministic boundedness implies this property. The stopping-time uniformity is stronger than having an integrable value at each fixed time.