✦ LIBER ✦

Autocontinuity, convergence in measure, and convergence in distribution

✍ Scribed by Toshiaki Murofushi; Michio Sugeno; Manabu Suzaki

Book ID: 104292508
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 284 KB
Volume: 92
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00170-x

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✦ Synopsis

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.

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