Generalized Weibull {rmutil}R Documentation

The Generalized Weibull Distribution

Description

These functions provide information about the generalized Weibull distribution with location parameter equal to m, dispersion equal to s, and family parameter equal to f. dgweibull gives the density, pgweibull gives the distribution function, hgweibull gives the hazard function.

The generalized Weibull distribution has density

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

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

f=infinity gives a Weibull distribution, for s=1, f<0 a generalized F distribution, and for s>0, f<0 a Burr type XII distribution.

Usage

dgweibull(y, m, s, f)
pgweibull(q, m, s, f)
hgweibull(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.

Author(s)

J.K. Lindsey

See Also

dweibull for the Weibull distribution, df for the F distribution, dburr for the Burr distribution.

Examples

dgweibull(5, 1, 3, 2)
pgweibull(5, 1, 3, 2)


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