(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.