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Teor. Veroyatnost. i Primenen., 1961, Volume 6, Issue 1, Pages 108–110 (Mi tvp4755)  

Short Communications

Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components

A. A. Borovkov

Moscow

Abstract: Let $\xi_1,\xi_2,…$ – 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.

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English version:
Theory of Probability and its Applications, 1961, 6:1, 99–101

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

Citation in format AMSBIB
\Bibitem{Bor61}
\by A.~A.~Borovkov
\paper Local Theorems and Moments for Maxima of Sums of Bounded Lattice Components
\jour Teor. Veroyatnost. i Primenen.
\yr 1961
\vol 6
\issue 1
\pages 108--110
\mathnet{http://mi.mathnet.ru/tvp4755}
\transl
\jour Theory Probab. Appl.
\yr 1961
\vol 6
\issue 1
\pages 99--101
\crossref{https://doi.org/10.1137/1106011}


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