Tagged Particle Distributions or How to Choose a Head at Random
Tagged Particle Distributions or How to Choose a Head at Random
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标记的粒子分布或如何随机选择头部
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
T. Liggett
中科院分区：
文献类型：
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作者：
T. Liggett
索里森（Thorisson）和其他人提供了以下结果：鉴于由Z D索引的Bernoulli随机变量家族与其位置相对于其位置的属性，其他变量仍然是I.I.D。此类焦虑的大小。基本上可能会在一个维度中进行泊松过程。
Thorisson and others have proved results that imply the following: given an i.i.d. family of Bernoulli random variables indexed byZ d there exists an occupied siteX ∈Z d with the property that relative to its location, the other variables are still i.i.d. We raise the question of how large such anXmust be. Ford =1, we prove that anyXwith this property satisfies E | X |½= ∞. Moreover, there does exist such anXwith tails P(|X| 1 ≥ n) of orderCn -½so these results are essentially best possible. Analogous results for the Poisson process in one dimension are given. The corresponding problem for stationary ergodic sequences is considered also. This project was motivated by some tagged particle problems.