Density, distribution function, quantile function and random
generation for the Beta distribution with parameters shape1
and
shape2
(and optional non-centrality parameter ncp
).
Arguments
- p
vector of probabilities
- prob
the mean probability (vectorised)
- kappa
a coefficient of variation. where 0 is no variability and 1 is maximally variability (vectorised)
- lower.tail
logical; if TRUE (default), probabilities are
P[X<=x]
otherwiseP[X>x]
.- log.p
logical; if TRUE, probabilities p are given as log(p).
Value
dbeta
gives the density, pbeta
the distribution
function, qbeta
the quantile function, and rbeta
generates random deviates.
Invalid arguments will result in return value NaN
, with a warning.
The length of the result is determined by n
for
rbeta
, and is the maximum of the lengths of the
numerical arguments for the other functions.
The numerical arguments other than n
are recycled to the
length of the result. Only the first elements of the logical
arguments are used.
Examples
qbeta2(c(0.25,0.5,0.75), 0.5, 0.25)
#> [1] 0.4506664 0.5000000 0.5493336