Certain properties of triangular transformations of measures
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Certain properties of triangular transformations of measures
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| Creator |
Medvedev, K.V.
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| Description |
We study the convergence of triangular mappings on R^n, i.e., mappings T such that the ith coordinate function Ti depends only on the variables x1, . . . ,xi. We show that, under broad assumptions, the inverse mapping to a canonical triangular transformation is canonical triangular as well. An example is constructed showing that the convergence in variation of measures is not sufficient for the convergence almost everywhere of the associated canonical triangular transformations. Finally, we show that the weak convergence of absolutely continuous convex measures to an absolutely continuous measure yields the convergence in variation. As a corollary, this implies the convergence in measure of the associated canonical triangular transformations. |
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| Date |
2009-11-25T11:06:24Z
2009-11-25T11:06:24Z 2008 |
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| Type |
Article
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| Identifier |
Certain properties of triangular transformations of measures / K.V. Medvedev // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 95–99. — Бібліогр.: 12 назв.— англ.
0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4540 519.21 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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