Beta distributions

Beta distributions

For details on the beta distribution see WikiPedia:Beta distribution. Notice that thee distribution is symmetric for the parameters p, and q (α & β in the Wikipedia article formula), and that the x axis range is from 0 to 1, a probability.

R programming language

For help on functions which create/manipulate beta distributions see;

?beta # or help(beta) ?rbeta # or help(rbeta)

Usage examples are provided at;

example(beta) example(rbeta) example(dbeta) example(pbeta) example(qbeta)

Lets generate a beta distribution using the rbeta built in R function.

quartz() # Alter the parameters n <- 1000 # Number of observations p <- 0.1 q <- 0.1 x <- rbeta(n, shape1= p, shape2=q) breaks <- seq(0,1, length=21) hist(x, breaks=breaks, freq=FALSE) lines(density(x, adjust=0.4), col="red")

See also

BetaDistributions.R