On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk

Lotov V.I.

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On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk

机译：随机游走的样本路径对带状交叉数分布的限制行为

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摘要

We find asymptotic representations for the distribution of the crossing number of an expanding strip by sample paths of a random walk in the case when the crossing number is finite with probability 1. The results are obtained under various restrictions on the rate of decrease at infinity for the distribution tails.

机译：当交叉数有限且概率为1时，我们通过随机游动的样本路径找到了扩展带的交叉数分布的渐近表示。在各种限制条件下，对于分布的尾巴。

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《Siberian Mathematical Journal》 |2013年第2期|共6页
作者
Lotov V.I.;
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原文格式 PDF
正文语种 eng
中图分类 51;
关键词
asymptotic analysis; crossing number of a strip; random walk;

机译：渐近分析;带的交叉数;随机游动;

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专利

1. On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk [J] . Lotov V.I. Siberian Mathematical Journal . 2013,第2期

机译：随机游走的样本路径对带状交叉数分布的限制行为
2. On the number of crossings of a strip by sample paths of a random walk [J] . Lotov VI, Orlova NG Sbornik. Mathematics . 2003,第5a6期

机译：通过随机游走的样本路径对条带的穿越次数
3. The distribution of the number of crossings of a strip by paths of the simplest random walks and of a wiener process with drift [J] . Borisov I.S., Nikitina N.N. Theory of probability and its applications . 2011,第1期

机译：通过最简单的随机游走路径和带漂移的维纳过程的路径的交叉点数量分布
4. Differences between Quantum Walks and Classical Random Walks in Limit Distributions [C] . Yutaka Shikano International Conference on Advances in Quantum Theory . 2011

机译：Quantum Walks和古典随机散步之间的差异限制分布
5. Limiting distributions and large deviations for random walks in random environments [D] . Peterson, Jonathon Robert 2008

机译：随机环境中随机游动的极限分布和大偏差
6. Improving safe street-crossing behaviors among primary school students: a randomized controlled trial [O] . Hamide Zare, Shamsaddin Niknami, Alireza Heidarnia, 2018

机译：改善小学生过街安全行为：一项随机对照试验
7. Light-tailed behavior of stationary distribution for state-dependent random walks on a strip [O] . Hong, Wenming, Zhang, Meijuan, Zhao, Yiqiang Q. 2013

机译：状态依赖的静态分布的轻尾行为随意走在地带上
8. U-Statistics of Random-Size Samples and Limit Theorems for Systems of Markovian Particles with Non-Poisson Initial Distributions. [R] . Feldman, R. E., Rachev, S. 1994

机译：具有非泊松初始分布的马尔可夫粒子系统的随机大小样本和极限定理的U统计量。

On the limit behavior of the distribution of the crossing number of a strip by sample paths of a random walk

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