Density, distribution function and random generation for the symmetrical beta distribution.
dsbeta(x, delta=1, log=FALSE)
psbeta(q, delta=1, lower.tail=TRUE, log.p=FALSE)
rsbeta(n, delta=1)dsbeta gives the density, psbeta gives the distribution function, and rsbeta generates random deviates. The length of the result is determined by n for rasin, 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.
vector of quantiles.
number of observations. If length(n) > 1, the length is taken to be the number required.
shape parameter (by default is 1).
logical; if TRUE, probabilities p are given as log(p).
logical; if TRUE (default), probabilities are \(P[X\leq x]\), otherwise, \(P[X>x]\).
Diego Gallardo
The symmetrical beta distribution has density $$ f(x)=\frac{1}{B(\delta,\delta)}x^{\delta-1}(1-x)^{\delta-1}, \quad x \in (0,1), \delta>0, $$ where \(B(a,b)\) denotes the beta function. Its cumulative distribution function is $$ F(x)=I_x(\delta,\delta), \quad x \in (0,1). $$
dsbeta(0.5, 1.2)
psbeta(0.5, 0.5)
rsbeta(5, 1.5)
Run the code above in your browser using DataLab