ssdtools (version 0.1.0)

burrIII3: Burr Type III Three-Parameter Distribution

Description

Density, distribution function, quantile function, random generation and starting values for the Burr Type III Three-Parameter distribution with lshape and lscale parameters.

Usage

dburrIII3(x, lshape1 = 0, lshape2 = 0, lscale = 1, log = FALSE)
qburrIII3(
  p,
  lshape1 = 0,
  lshape2 = 0,
  lscale = 1,
  lower.tail = TRUE,
  log.p = FALSE
)
pburrIII3(
  q,
  lshape1 = 0,
  lshape2 = 0,
  lscale = 1,
  lower.tail = TRUE,
  log.p = FALSE
)
rburrIII3(n, lshape1 = 0, lshape2 = 0, lscale = 1)
sburrIII3(x)

Arguments

x

A numeric vector of values.

lshape1

shape1 parameter on the log scale.

lshape2

shape2 parameter on the log scale.

lscale

scale parameter on the log scale.

log

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

p

vector of probabilities.

lower.tail

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

log.p

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

q

vector of quantiles.

n

number of observations.

Value

A numeric vector.

Details

The Burr 12 distribution from the actuar package is used as a base. The Burr III distribution is the distribution of 1/x where x has the Burr Type 12 distribution. refer to https://www.itl.nist.gov/div898/software/dataplot/refman2/auxillar/bu3pdf.htm for details. The shape1, shape2, and scale parameters are on the log(scale) as these must be positive.

See Also

dburr and burrIII2

Examples

# NOT RUN {
x <- seq(0.01, 5, by = 0.01)
plot(x, dburrIII3(x), type = "l")
# }