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

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Theory of Stochastic Processes
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Theory of Stochastic Processes, 2007 (Volume 13 (29))
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Theory of Stochastic Processes, 2007, № 1-2
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Topological, metric and fractal properties of probability distributions on the set of incomplete sums of positive series

URI: http://dspace.nbuv.gov.ua/handle/123456789/4490

Посилання: 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.

Дата: 2007

Завантажень: 875

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

Анотація:

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 the absolute value of the characteristic function of this random variable at infinity and the fractal dimension preservation by its distribution function.

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