Statistics 简明教程

Statistics - Exponential distribution

指数分布或负指数分布表示泊松过程事件之间的时间概率分布。在泊松过程中，事件以一个恒定的平均速率连续且独立地发生。指数分布是一个特定的伽马分布。

Exponential distribution or negative exponential distribution represents a probability distribution to describe the time between events in a Poisson process. In Poisson process events occur continuously and independently at a constant average rate. Exponential distribution is a particular case of the gamma distribution.

exponential distribution

Probability density function

指数分布的概率密度函数表示为：

Probability density function of Exponential distribution is given as:

Formula

其中——

Where −

  1. ${\lambda}$ = rate parameter.

  2. ${x}$ = random variable.

Cumulative distribution function

指数分布的累积分布函数表示为：

Cumulative distribution function of Exponential distribution is given as:

Formula

其中——

Where −

  1. ${\lambda}$ = rate parameter.

  2. ${x}$ = random variable.