Certain properties of triangular transformations of measures

• Datum: 2008
• ISSN: 0321-3900
• 1. Verfasser: Medvedev, K.V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/4540
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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 exam...