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Convergence of moments and related functional in the general central limit theorem in banach spaces

✍ Scribed by Alejandro de Acosta; Evarist Giné


Publisher
Springer
Year
1979
Tongue
English
Weight
830 KB
Volume
48
Category
Article
ISSN
1432-2064

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📜 SIMILAR VOLUMES


On the convergence of generalized moment
✍ Ildar Ibragimov; Mikhail Lifshits 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 338 KB

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