Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series

• Date: 2007
• Main Authors: Pratsiovytyi, M.V., Feshchenko, O.Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4490
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series / M.V. Pratsiovytyi, O.Yu. Feshchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 205-224. — Бібліогр.: 27 назв.— англ.

We study the structure, topological, metric and fractal properties of the distribution of random incomplete sum of the convergent positive series with independent terms under certain conditions on the rate of convergence of series and on the distributions of its terms. We also study the behaviour of...