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Teoriya Veroyatnostei i ee Primeneniya, 1961, Volume 6, Issue 1, Pages 108–110
(Mi tvp4755)
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Short Communications
Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components
A. A. Borovkov Moscow
Abstract:
Let $\xi_1,\xi_2,\dots$ – independent lattice random variables; $|\xi_k|<M$, $\bar s_n=\max_{1\leq\nu\leq n}(0,\xi _1+,\xi _2+\cdots+\xi _\nu)$. The formulas for $\mathbf P({s_n=x})$ and for the first moments $\bar s_n$ are obtained in the note.
Received: 07.07.1960
Citation:
A. A. Borovkov, “Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components”, Teor. Veroyatnost. i Primenen., 6:1 (1961), 108–110; Theory Probab. Appl., 6:1 (1961), 99–101
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https://www.mathnet.ru/eng/tvp4755 https://www.mathnet.ru/eng/tvp/v6/i1/p108
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Abstract page: | 138 | Full-text PDF : | 55 |
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