convergence in measure


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convergence in measure

[kən′vər·jəns in ′mezh·ər]
(mathematics)
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.
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