| Risk theory |
Decision-making under uncertainty |
Description
A random variable
The following picture shows graphs of the
density function
(bound to the left axis)
and CDF
(bound to the right axis) of the Gamma distribution with parameters
CharacteristicsThe following table contains formulae for calculation of characteristics of a Gamma distribution.
Simulation
Simulation of a Gamma random variable with parameters
|
possesses a Gamma distribution with parameters
> 0,
> 0,
if it is continuous, takes only positive values, and its density
function is of the form
,
where 
is
Euler's gamma function.
,
where 
are
independent exponential random variables with parameter
1 /