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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
A necessary and sufficient condition of convergence in measure for uncertain sequence was presented by Guo et al.
Then some new properties of convergence in measure and convergence in p-distance will be investigated in Section 3.
Next, the results of convergence in measure will be extended to the case of convergence in p-distance.
We then demonstrate that the timing and variation across states in the AFQT convergence closely tracks racial convergence in measures of health and hospital access in the years immediately following birth.
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