The Hjorth Distribution

Usage

dhjorth(y, m, s, f)
phjorth(q, m, s, f)
hhjorth(y, m, s, f)

Arguments

y vector of responses.
q vector of quantiles.
m vector of location parameters.
s vector of dispersion parameters.
f vector of family parameters.

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. dhjorth gives the density, phjorth gives the distribution function, hhjorth gives the hazard function.

The Hjorth distribution has density

f(y) = (1+s y)^(-f/s) exp(-(y/m)^2/2) (y/m^2+f/(1+s y))

where m is the location parameter of the distribution, s is the dispersion, and f is the family parameter.

Author(s)

J.K. Lindsey

Examples

dhjorth(5, 5, 5, 2)
phjorth(5, 5, 5, 2)


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