Log {VGAM} | R Documentation

## Logarithmic Distribution

### Description

Density, distribution function, quantile function, and random generation for the logarithmic distribution.

### Usage

    dlog(x, shape, log = FALSE)
    plog(q, shape, log.p = FALSE)
    qlog(p, shape)
    rlog(n, shape)

### Arguments

`x, q, p, n` | Same interpretation as in `runif`.
`shape` | The shape parameter value c described in in `logff`.
`log, log.p` | Logical. If `log.p = TRUE` then all probabilities `p` are given as `log(p)`.

### Details

The details are given in `logff`.

### Value

`dlog` gives the density, `plog` gives the distribution function, `qlog` gives the quantile function, and `rlog` generates random deviates.

### Note

Given some response data, the VGAM family function `logff` estimates the parameter `shape`. For `plog()`, if argument `q` contains large values and/or `q` is long in length then the memory requirements may be very high. Very large values in `q` are handled by an approximation by Owen (1965).

### Author(s)

T. W. Yee

### References

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2011) Statistical Distributions, Hoboken, NJ, USA: John Wiley and Sons, Fourth edition.

### See Also

`logff`, `Oilog`. `Otlog`.

### Examples

    dlog(1:20, 0.5)
    rlog(20, 0.5)

    ## Not run:  shape <- 0.8; x <- 1:10
    plot(x, dlog(x, shape = shape), type = "h", ylim = 0:1,
         sub = "shape=0.8", las = 1, col = "blue", ylab = "shape",
         main = "Logarithmic distribution: blue=density; orange=distribution function")
    lines(x + 0.1, plog(x, shape = shape), col = "orange", lty = 3, type = "h")
    ## End(Not run)

[Package VGAM version 1.1-1 Index]