(note, the degrees of freedom, is a positive integer)
This distribution is a special case of the gamma distribution (for and ). It has application in hypothesis testing.
Beta
(note, and )
Cauchy
Note: the mean of the Cauchy distribution actually does not exist strictly, but since the distribution is symmetric, it is generally taken to be .
Erlang
(note, n is a positive integer and )
This is a special case of the gamma distribution (where is an integer). This distribution has applications in problems concerning the time between independent events, which each have exponential distribution.
Exponential
(note, )
This distribution has applications in queueing problems, lifetime of events problems and in some physics problems.
F
(note, and are positive integers).
Gamma
(note, and )
Log-Normal
Note that is Normal, hence the name.
Normal (Gaussian)
Rayleigh
Uniform
Weibull
(note, and )
Applications in failure, reliability and lifetime problems.