Lomax {VGAM}R Documentation

The Lomax Distribution

Description

Density, distribution function, quantile function and random generation for the Lomax distribution with scale parameter scale and shape parameter q.

Usage

dlomax(x, scale, q.arg)
plomax(q, scale, q.arg)
qlomax(p, scale, q.arg)
rlomax(n, scale, q.arg)

Arguments

x, q vector of quantiles.
p vector of probabilities.
n number of observations. If length(n) > 1, the length is taken to be the number required.
q.arg shape parameter.
scale scale parameter.

Details

See lomax, which is the VGAM family function for estimating the parameters by maximum likelihood estimation.

Value

dlomax gives the density, plomax gives the distribution function, qlomax gives the quantile function, and rlomax generates random deviates.

Note

The Lomax distribution is a special case of the 4-parameter generalized beta II distribution.

Author(s)

T. W. Yee

References

Kleiber, C. and Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ: Wiley-Interscience.

See Also

lomax, genbetaII.

Examples

y = rlomax(n=2000, 6, 2)
fit = vglm(y ~ 1, lomax(init.q=2.1), trace=TRUE, crit="c")
coef(fit, mat=TRUE)
Coef(fit)

[Package VGAM version 0.7-7 Index]