BUILT-IN MATHEMATICA SYMBOL

# HyperexponentialDistribution

HyperexponentialDistribution[{1, ..., m}, {1, ..., m}]
represents an m-phase hyperexponential distribution with phase probabilities and rates .

## DetailsDetails

• HyperexponentialDistribution is also known as a mixed exponential or parallel m-phase exponential distribution.
• An m-phase hyperexponential distribution can be interpreted as having m servers in parallel where the i server has service rate and is picked with probability .
• The probability density for value in an exponential distribution is for , and is zero for .
• HypoexponentialDistribution allows to be any non-negative numbers such that and to be any positive real numbers.
• HyperexponentialDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

### Basic Examples (4)Basic Examples (4)

Probability density function:

 Out[1]=
 Out[2]=

Cumulative distribution function:

 Out[1]=
 Out[2]=

Mean:

 Out[1]=

Variance:

 Out[2]=

Median can be found numerically:

 Out[1]=