CoSMoS (version 2.1.2)

BurrXII: Burr Type XII distribution

Description

Provides density, distribution function, quantile function, random value generation, and raw moments of order r for the Burr Type XII distribution.

Usage

dburrXII(x, scale, shape1, shape2, log = FALSE)
pburrXII(q, scale, shape1, shape2, lower.tail = TRUE, log.p = FALSE)
qburrXII(p, scale, shape1, shape2, lower.tail = TRUE, log.p = FALSE)
rburrXII(n, scale, shape1, shape2)
mburrXII(r, scale, shape1, shape2)

Arguments

x, q

vector of quantiles.

scale, shape1, shape2

scale and shape parameters; the shape arguments cannot be a vector (must have length one).

log, log.p

logical; if TRUE, probabilities p are given as log(p).

lower.tail

logical; if TRUE (default), probabilities are \(P[X \le x]\) otherwise, \(P[X > x]\).

p

vector of probabilities.

n

number of observations. If length(n) > 1, the length is taken to be the number required.

r

raw moment order

Examples

## plot the density

ggplot(data.frame(x = c(0, 10)),
       aes(x)) +
  stat_function(fun = dburrXII,
                args = list(scale = 5,
                            shape1 = .25,
                            shape2 = .75),
                colour = 'royalblue4') +
  labs(x = '',
       y = 'Density') +
  theme_classic()