Invlomax {VGAM}R Documentation

The Inverse Lomax Distribution

Description

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

Usage

dinvlomax(x, scale, p.arg)
pinvlomax(q, scale, p.arg)
qinvlomax(p, scale, p.arg)
rinvlomax(n, scale, p.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.
p.arg shape parameter.
scale scale parameter.

Details

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

Value

dinvlomax gives the density, pinvlomax gives the distribution function, qinvlomax gives the quantile function, and rinvlomax generates random deviates.

Note

The inverse 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

invlomax, genbetaII.

Examples

y = rinvlomax(n=1000, 6, 2)
fit = vglm(y ~ 1, invlomax, trace=TRUE, crit="c")
coef(fit, mat=TRUE)
Coef(fit)

[Package VGAM version 0.7-7 Index]