The Generalized Gamma Distribution

Usage

dggamma(y, m, s, f)
pggamma(q, m, s, f)
hggamma(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 generalized gamma distribution with location parameter equal to m, dispersion equal to s, and family parameter equal to f. dggamma gives the density, pggamma gives the distribution function, hggamma gives the hazard function.

The generalized gamma distribution has density

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

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

f=1 yields a gamma distribution, s=1 a Weibull distribution, and s=infinity a log normal distribution.

Author(s)

J.K. Lindsey

See Also

dgamma for the gamma distribution, dweibull for the Weibull distribution, dlnorm for the log normal distribution.

Examples

dggamma(2, 5, 4, 2)
pggamma(2, 5, 4, 2)


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