R: Box-Cox Distribution

Box-Cox {rmutil} | R Documentation

## Box-Cox Distribution

### Description

These functions provide information about the Box-Cox distribution with location parameter equal to `m`, dispersion equal to `s`, and power transformation equal to `f`: density, cumulative distribution, quantiles, log hazard, and random generation.

The Box-Cox distribution has density

f(y) = 1/sqrt(2 pi s^2) exp(-((y^f/f - mu)^2/(2 s^2)))/ (1-I(f<0)-sign(f)*pnorm(0,m,sqrt(s)))

where m is the location parameter of the distribution, s is the dispersion, f is the family parameter, I() is the indicator function, and y>0.

f=1 gives a truncated normal distribution.

### Usage

    dboxcox(y, m, s=1, f=1, log=FALSE)
    pboxcox(q, m, s=1, f=1)
    qboxcox(p, m, s=1, f=1)
    rboxcox(n, m, s=1, f=1)

### Arguments

`y` | vector of responses.
`q` | vector of quantiles.
`p` | vector of probabilities
`n` | number of values to generate
`m` | vector of location parameters.
`s` | vector of dispersion parameters.
`f` | vector of power parameters.
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### See Also

`dnorm` for the normal or Gaussian distribution.

### Examples

    dboxcox(2, 5, 5, 2)
    pboxcox(2, 5, 5, 2)
    qboxcox(0.1, 5, 5, 2)
    rboxcox(10, 5, 5, 2)

[Package rmutil version 1.1.3 Index]