rmutil (version 1.1.4)

Burr: Burr Distribution

Description

These functions provide information about the Burr distribution with location parameter equal to m, dispersion equal to s, and family parameter equal to f: density, cumulative distribution, quantiles, log hazard, and random generation.

The Burr distribution has density $$ f(y) = \frac{\nu \sigma (y / \mu)^{\sigma-1}} {\mu (1+(y/\mu)^\sigma)^{\nu+1}}$$ where \(\mu\) is the location parameter of the distribution, \(\sigma\) is the dispersion, and \(\nu\) is the family parameter.

Usage

dburr(y, m, s, f, log=FALSE)
pburr(q, m, s, f)
qburr(p, m, s, f)
rburr(n, m, s, f)

Arguments

y

vector of responses.

q

vector of quantiles.

p

vector of probabilities

n

number of values to generate

m

vector of location parameters.

s

vector of dispersion parameters.

f

vector of family parameters.

log

if TRUE, log probabilities are supplied.

Examples

# NOT RUN {
dburr(2, 5, 1, 2)
pburr(2, 5, 1, 2)
qburr(0.3, 5, 1, 2)
rburr(10, 5, 1, 2)
# }