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On uniform integrability of random variables

✍ Scribed by Dariusz Majerek; Wioletta Nowak; Wiesław Zięba


Book ID
108267260
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
216 KB
Volume
74
Category
Article
ISSN
0167-7152

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On conditional compactly uniform pth-ord
✍ Manuel nindexOrdonezOrdóñez Cabrera; Andrei I. Volodin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 118 KB

The notion of conditional compactly uniform pth-order integrability of an array of random elements in a separable Banach space concerning an array of random variables and relative to a sequence of -algebras is introduced and characterized. We state a conditional law for randomly weighted sums of ran