The continuous probability distribution with probability density function f(x) = λexp(−λx), where λ > 0 and x ≥ 0. It has mean 1/λ and variance 1/λ2. The time between events that occur randomly but at a constant rate has an exponential distribution. The distribution is skewed to the right.
A random variable X with an exponential distribution has probability density function f given by
where λ is a positive constant. The cumulative distribution function F is given by
The distribution has expected value 1/λ and variance 1/λ2. The distribution has the forgetfulness property. See also Poisson process.
Exponential distribution. All exponential distributions have a range from 0 to ∞, a mode at 0, and a mean equal to the standard deviation.
A special case of the gamma distribution with the density function
for 0 ≤ x < ∞ and β > 0, and the moment generating function for any t < β. An exponential random variable has mean β and variance β2. This distribution has the memoryless property and is frequently used to model lifetimes and queuing problems.
- distributed circuit
- distributed computing environment
- Distributed Concurrent Versions System
- distributed control system
- distributed database
- distributed deadlock
- distributed denial of service
- distributed feedback laser
- distributed file system
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- distributed knowledge
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- distribution
- distributional equity
- distributional weight