# otlogUC: One-truncated Logarithmic Distribution In VGAMdata: Data Supporting the 'VGAM' Package

 Otlog R Documentation

## One-truncated Logarithmic Distribution

### Description

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

### Usage

``````dotlog(x, shape, log = FALSE)
potlog(q, shape, log.p = FALSE)
qotlog(p, shape)
rotlog(n, shape)
``````

### Arguments

 `x, q` Vector of quantiles. For the density, it should be a vector with integer values `> 1` in order for the probabilities to be positive. `p` vector of probabilities. `n` number of observations. Same as in `runif`. `shape` The parameter value `c` described in in `logff`. Here it is called `shape` because `0

### Details

The one-truncated logarithmic distribution is a logarithmic distribution but with the probability of a one being zero. The other probabilities are scaled to add to unity. Some more details are given in `logff`.

### Value

`dotlog` gives the density, `potlog` gives the distribution function, `qotlog` gives the quantile function, and `rotlog` generates random deviates.

### Note

Given some response data, the VGAM family function `otlog` estimates the parameter `shape`. Function `potlog()` suffers from the problems that `plog` sometimes has.

### Author(s)

T. W. Yee

`Gaitdlog`, `otlog`, `rlog`, `Oilog`.

### Examples

``````dotlog(1:20, 0.5)
rotlog(20, 0.5)

## Not run:  shape <- 0.8; x <- 1:10
plot(x, dotlog(x, shape = shape), type = "h", ylim = 0:1,
sub = "shape=0.8", las = 1, col = "blue", ylab = "Probability",
main = "1-truncated logarithmic distn: blue=PMF; orange=CDF")
lines(x+0.1, potlog(x, shape), col = "orange", lty = 3, type = "h")
## End(Not run)
``````

VGAMdata documentation built on Sept. 18, 2023, 9:08 a.m.