rmutil (version 1.1.4)

Hjorth: Hjorth Distribution

Description

These functions provide information about the Hjorth 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 Hjorth distribution has density $$ f(y) = (1+\sigma y)^{-\nu/\sigma} \exp(-(y/\mu)^2/2) (\frac{y}{\mu^2}+\frac{\nu}{1+\sigma y})$$

where \(\mu\) is the location parameter of the distribution, \(\sigma\) is the dispersion, and \(\nu\) is the family parameter.

Usage

dhjorth(y, m, s, f, log=FALSE)
phjorth(q, m, s, f)
qhjorth(p, m, s, f)
rhjorth(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 {
dhjorth(5, 5, 5, 2)
phjorth(5, 5, 5, 2)
qhjorth(0.8, 5, 5, 2)
rhjorth(10, 5, 5, 2)
# }