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=1, p.arg, log = FALSE)
    pinvlomax(q, scale=1, p.arg)
    qinvlomax(p, scale=1, p.arg)
    rinvlomax(n, scale=1, 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.
`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.

### 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 0.7-9 Index]