# inv.lomaxUC: The Inverse Lomax Distribution In VGAM: Vector Generalized Linear and Additive Models

## Description

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

## Usage

 1 2 3 4 dinv.lomax(x, scale = 1, shape2.p, log = FALSE) pinv.lomax(q, scale = 1, shape2.p, lower.tail = TRUE, log.p = FALSE) qinv.lomax(p, scale = 1, shape2.p, lower.tail = TRUE, log.p = FALSE) rinv.lomax(n, scale = 1, shape2.p)

## 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. shape2.p shape parameter. scale scale parameter. log Logical. If log = TRUE then the logarithm of the density is returned. lower.tail, log.p Same meaning as in pnorm or qnorm.

## Details

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

## Value

dinv.lomax gives the density, pinv.lomax gives the distribution function, qinv.lomax gives the quantile function, and rinv.lomax generates random deviates.

## Note

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

T. W. Yee

## References

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

## Examples

 1 2 3 4 idata <- data.frame(y = rinv.lomax(n = 1000, exp(2), exp(1))) fit <- vglm(y ~ 1, inv.lomax, data = idata, trace = TRUE, crit = "coef") coef(fit, matrix = TRUE) Coef(fit)

VGAM documentation built on Feb. 9, 2018, 6:13 a.m.