Beta distribution – beta
Second shape parameter, defaults to 1.
The parameter beta
can be interpreted as the number of times (plus one) a one has been observed, so setting beta
to one means no observations, beta=4
means 3 observations.
Likewise, the parameter alpha
can be interpreted as the number of times (plus one) a zero has been observed.
If both alpha
and beta
shape parameters are 1, the Beta distribution becomes a uniform distribution.
Values of alpha
and beta
less than 1 lead to distributions that are highly skewed towards 0 and 1.
Values of alpha
and beta
more than 1 lead to distributions that have mean alpha/(alpha+beta)
and zero density at 0 and 1.
See also Beta distribution.
Jordan Douglas’ distribution viewer: