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单词 Poisson processes
释义

Poisson processes

中文百科

泊松过程 Poisson point process

(重定向自Poisson processes)

Poisson过程Poisson process,大陆译泊松过程、普阿松过程等,台译卜瓦松过程、布瓦松过程、布阿松过程、波以松过程、卜氏过程等),是以法国数学家泊松(1781 - 1840)的名字命名的。泊松过程是随机过程的一种,是以事件的发生时间来定义的。我们说一个 随机过程 N(t) 是一个时间齐次的一维泊松过程,如果它满足以下条件:

 P [(N(t+ \tau) - N(t)) = k] = \frac{e^{-\lambda \tau} (\lambda \tau)^k}{k!} \qquad k= 0,1,\ldots

其中λ是一个正数,是固定的参数,通常称为抵达率(arrival rate)或强度(intensity)。所以,如果给定在时间区间[t,t+ \tau]之中事件发生的数目,则随机变量N(t + \tau) - N(t)呈现泊松分布,其参数为\lambda\tau

英语百科

Poisson point process 泊松过程

(重定向自Poisson processes)
According to one statistical study, the positions of cellular or mobile phone base stations in the Australian city Sydney, pictured above, resemble a Poisson point process, while in many other cities around the world they do not and other point processes are required.[46]

In probability, statistics and related fields, a Poisson point process or Poisson process (also called a Poisson random measure, Poisson random point field or Poisson point field) is a type of random mathematical object that consists of points randomly located on a mathematical space. The process has convenient mathematical properties, which has led to it being frequently defined in Euclidean space and used as a mathematical model for seemingly random processes in numerous disciplines such as astronomy, biology, ecology, geology, physics, image processing, and telecommunications.

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更新时间:2025/6/18 6:31:14