# oalogUC: One-Altered Logarithmic Distribution In VGAMdata: Data Supporting the 'VGAM' Package

 Oalog R Documentation

## One-Altered Logarithmic Distribution

### Description

Density, distribution function, quantile function and random generation for the one-altered logarithmic distribution with parameter `pobs1`.

### Usage

```doalog(x, shape, pobs1 = 0, log = FALSE)
poalog(q, shape, pobs1 = 0)
qoalog(p, shape, pobs1 = 0)
roalog(n, shape, pobs1 = 0)
```

### Arguments

 `x, q, n, p` Same `Unif`. `shape, log` Same as `Otlog`). `pobs1` Probability of (an observed) one, called pobs1. The default value of `pobs1 = 0` corresponds to the response having a 1-truncated logarithmic distribution.

### Details

The probability function of Y is 1 with probability `pobs1`, else a 1-truncated logarithmic(shape) distribution.

### Value

`doalog` gives the density and `poalog` gives the distribution function, `qoalog` gives the quantile function, and `roalog` generates random deviates.

### Note

The argument `pobs1` is recycled to the required length, and must have values which lie in the interval [0,1].

### Author(s)

T. W. Yee

`Gaitdlog`, `oalog`, `oilog`, `Otlog`.

### Examples

```shape <- 0.75; pobs1 <- 0.10; x <- (-1):7
doalog(x, shape = shape, pobs1 = pobs1)
table(roalog(100, shape = shape, pobs1 = pobs1))

## Not run:  x <- 0:10
barplot(rbind(doalog(x, shape = shape, pobs1 = pobs1),
dlog(x, shape = shape)),
beside = TRUE, col = c("blue", "orange"), cex.main = 0.7, las = 1,
ylab = "Probability", names.arg = as.character(x),
main = paste("OAL(shape = ", shape, ", pobs1 = ", pobs1,
") [blue] vs",  " Logarithmic(shape = ", shape,
") [orange] densities", sep = ""))
## End(Not run)
```

VGAMdata documentation built on March 18, 2022, 8:03 p.m.