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Title: | Stochastic processes from F() spaces |
Authors: | Козаченко, Юрій Васильович Млавець, Юрій Юрійович |
Keywords: | Banach space, F() -space, majorizing characteristic, condition H, stochastic process, probability of large deviations, compact set, metric massiveness |
Issue Date: | 2014 |
Citation: | Kozachenko Y. V. Stochastic processes from F() spaces / Yu. V. Kozachenko, Yu. Yu. Mlavets // Contemporary Mathematics and Statistics . – 2014. – Vol. 2, No. 1. – P. 55-75. |
Abstract: | In the paper we investigated the basic properties of the spaces F(). There were also obtained the estimates for the distribution of suprema on a compact set for the stochastic process from such spaces. The probabilities of large deviations for the sums of independent stochastic processes from the space F() have been considered and the estimates for the distribution of suprema on R for the stochastic processes from such spaces have been found. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/2888 |
Appears in Collections: | Наукові публікації кафедри кібернетики і прикладної математики |
Files in This Item:
File | Description | Size | Format | |
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Stochastic processes from F() spaces.pdf | 876.18 kB | Adobe PDF | View/Open |
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