convergence in measure
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convergence in measure[kən′vər·jəns in ′mezh·ər]
A sequence of functions ƒn (x) converges in measure to ƒ(x) if given any ε > 0, the measure of the set of points at which |ƒn (x) - ƒ(x) | > ε is less than ε, provided n is sufficiently large.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.