*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.
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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.
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