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On almost sure convergence in a finitely additive setting

✍ Scribed by Robert Chen


Publisher
Springer
Year
1977
Tongue
English
Weight
844 KB
Volume
37
Category
Article
ISSN
1432-2064

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Let {~k} be the normalized sums corresponding to a sequence of i.i.d, variables with zero mean and unit variance. Define random measures n k=l and let G be the normal distribution. We show that for each continuous function h satisfying f h dG<~ and a mild regularity assumption, one has limfhdO,=fhdG