Research output: Contribution to journal › Article › peer-review
We derive universal strong laws for increments of sums of i.i.d. random variables with multidimensional indices without an exponential moment. Our theorems yield the strong law of large numbers, the law of the iterated logarithm, and the Csorgo-Revesz laws for random fields. New results are obtained for distributions from domains of attraction of the normal law and of completely asymmetric stable laws with index α (1, 2). Bibliography: 18 titles.
Original language | English |
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Pages (from-to) | 2604-2613 |
Number of pages | 10 |
Journal | Journal of Mathematical Sciences |
Volume | 128 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2005 |
ID: 75022105