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Density, distribution function, quantile function and random generation for the Burr type XII distribution on \(x>0\).

Usage

dburr12(x, c, k, s, log = FALSE)

pburr12(q, c, k, s, lower.tail = TRUE, log.p = FALSE)

qburr12(p, c, k, s, lower.tail = TRUE, log.p = FALSE)

rburr12(n, c, k, s)

Arguments

x, q

Numeric vector of quantiles (>0).

c, k, s

Positive parameters.

log

Logical; if TRUE return log-density.

lower.tail

Logical; if TRUE (default) probabilities are \(P[X \le x]\).

log.p

Logical; if TRUE return log-probabilities.

p

Numeric vector of probabilities between 0 and 1.

n

Number of observations.

Details

This parameterization requires k > 1.