Beta2Dist: Beta distribution of the second kind

In brr: Bayesian Inference on the Ratio of Two Poisson Rates

Description

Density, distribution function, quantile function and random generation for the Beta distribution of the second kind with shape parameters c and d and scale parameter scale.

Usage

dbeta2(x, c, d, scale, log = FALSE, ...)

pbeta2(q, c, d, scale, ...)

qbeta2(p, c, d, scale, ...)

rbeta2(n, c, d, scale)

summary_beta2(c, d, scale, output = "list", ...)

Arguments

x,q	vector of quantiles
c,d	non-negative shape parameters
scale	non-negative scale parameter
log	logical; if true, returns the logarithm of the result
...	other arguments passed to FDist
p	vector of probabilities
n	number of observations to be simulated
output	type of the summary_beta2 output: "list" to return a list, "pandoc" to print a table

Details

The Beta distribution of the second kind with shape parameters c>0 and d>0 and scale parameter k>0 is the distribution of k*(U/(1-U)) where U is a random variable following the Beta distribution with shape parameters c and d.

Value

dbeta2 gives the density, pbeta2 the distribution function, qbeta2 the quantile function, and rbeta2 generates random observations, and summary_beta2 returns a summary of the distribution.

Note

Beta2Dist is a generic name for the functions documented.

Examples

curve(dbeta2(x, 3, 10, scale=2), from=0, to=3)
u <- rbeta(1e5, 3, 10)
lines(density(2*u/(1-u)), col="blue", lty="dashed")
summary_beta2(3,10,2)

Example output

sh: 1: cannot create /dev/null: Permission denied
$mode
[1] 0.3636364

$mean
[1] 0.6666667

$sd
[1] 0.4714045

$Q1
[1] 0.3415147

$Q2
[1] 0.5532558

$Q3
[1] 0.8619625

brr documentation built on May 2, 2019, 1:04 a.m.