# Invlomax {VGAM}

The Inverse Lomax Distribution
Package:
VGAM
Version:
0.9-3

### 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 = 1, shape2.p, log = FALSE)
pinvlomax(q, scale = 1, shape2.p)
qinvlomax(p, scale = 1, shape2.p)
rinvlomax(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.

### Details

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

### Values

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

### References

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

### Note

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

`invlomax`, `genbetaII`.

### Examples

```idata <- data.frame(y = rinvlomax(n = 1000, exp(2), exp(1)))
fit <- vglm(y ~ 1, invlomax, idata, trace = TRUE, crit = "coef")
coef(fit, matrix = TRUE)
Coef(fit)```

### Author(s)

T. W. Yee

Documentation reproduced from package VGAM, version 0.9-3. License: GPL-2