Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
A sequence of independent non-identically distributed random variables is considered. Asymptotical behavior with probability 1 of maximal increments of theirs sums is studied. Exact convergence rates in the Erdos-Renyi law are found, and the Shepp law is proved. A version of the Erdos-Renyi law is obtained when Cramer's condition is replaced by the Linnik's condition from the probability theory of large deviations. The behavior of increments of different lengths is studied.
Язык оригинала | русский |
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Страницы (с-по) | 45-48 |
Число страниц | 4 |
Журнал | Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya |
Номер выпуска | 4 |
Состояние | Опубликовано - окт 1993 |
ID: 75020338