R: Mills Ratio

mills.ratio {VGAM} | R Documentation

## Mills Ratio

### Description

Computes the Mills ratio.

### Usage

    mills.ratio(x)
    mills.ratio2(x)

### Arguments

`x` | Numeric (real).

### Details

The Mills ratio here is `dnorm(x) / pnorm(x)` (some use `(1 - pnorm(x)) / dnorm(x)`). Some care is needed as `x` approaches `-Inf`; when x is very negative then its value approaches -x.

### Value

`mills.ratio` returns the Mills ratio, and `mills.ratio2` returns `dnorm(x) * dnorm(x) / pnorm(x)`.

### Author(s)

T. W. Yee

### References

Mills, J. P. (1926). Table of the ratio: area to bounding ordinate, for any portion of normal curve. Biometrika. 18(3/4), 395–400.

### See Also

`Normal`, `tobit`, `cens.poisson`.

### Examples

    ## Not run:
    curve(mills.ratio, -5, 5, col = "orange", las = 1)
    curve(mills.ratio, -5, 5, col = "orange", las = 1, log = "y")

    ## End(Not run)

[Package VGAM version 1.1-3 Index]