The Beta distribution with parameters
shape1 $= a$ and
shape2 $= b$ has density
for $a > 0$, $b > 0$ and $0 \le x \le 1$
where the boundary values at $x=0$ or $x=1$ are defined as
by continuity (as limits).
Objects from the Class
Objects can be created by calls of the form
This object is a beta distribution.
"UnivariateDistribution", by class
"Distribution", by class
B <- Beta(shape1 = 1, shape2 = 1) # B is a beta distribution with shape1 = 1 and shape2 = 1. r(B)(1) # one random number generated from this distribution, e.g. 0.6979795 d(B)(1) # Density of this distribution is 1 for x=1. p(B)(1) # Probability that x < 1 is 1. q(B)(.1) # Probability that x < 0.1 is 0.1. shape1(B) # shape1 of this distribution is 1. shape1(B) <- 2 # shape1 of this distribution is now 2.