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Toeplitz Transformations and Convergence in Measure

✍ Scribed by Maddox, I. J.

Book ID
120098610
Publisher
Oxford University Press
Year
1966
Tongue
English
Weight
89 KB
Volume
s1-41
Category
Article
ISSN
0024-6107

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Autocontinuity, convergence in measure,
Autocontinuity, convergence in measure, and convergence in distribution
✍ Toshiaki Murofushi; Michio Sugeno; Manabu Suzaki πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 284 KB

It is shown that the autocontinuity is equivalent to the property that the convergence in measure implies the convergence in distribution. This result is applied to Denneberg's dominated convergence theorem for the Choquet integral.