*If estimator " T n " is defined implicitly, for example as a value that maximizes certain objective function ( see extremum estimator ), then a more complicated argument involving stochastic equicontinuity has to be used.
12.
Equicontinuity appears in the formulation of Ascoli's theorem, which states that a subset of " C " ( " X " ), the space of continuous functions on a compact Hausdorff space " X ", is compact if and only if it is closed, pointwise bounded and equicontinuous.