Convergence rate in limit theorems for weakly dependent random values
A new condition for a weak dependence of random variables is determined, which makes it possible to extend limit theorems for independent random variables to the case of weakly dependent variables with the preservation of the convergence rate. An example of a sequence of random variables satisfying...
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| Veröffentlicht in: | Lobachevskii journal of mathematics 2014-10, Vol.35 (4), p.390-396 |
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| container_end_page | 396 |
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| container_issue | 4 |
| container_start_page | 390 |
| container_title | Lobachevskii journal of mathematics |
| container_volume | 35 |
| creator | Dubrovin, V. T. |
| description | A new condition for a weak dependence of random variables is determined, which makes it possible to extend limit theorems for independent random variables to the case of weakly dependent variables with the preservation of the convergence rate. An example of a sequence of random variables satisfying the new weak dependence condition is given. |
| doi_str_mv | 10.1134/S1995080214040039 |
| format | Article |
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| identifier | ISSN: 1995-0802 |
| ispartof | Lobachevskii journal of mathematics, 2014-10, Vol.35 (4), p.390-396 |
| issn | 1995-0802 1818-9962 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes |
| title | Convergence rate in limit theorems for weakly dependent random values |
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