explog | R Documentation |

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

```
dexplog(x, scale = 1, shape, log = FALSE)
pexplog(q, scale = 1, shape)
qexplog(p, scale = 1, shape)
rexplog(n, scale = 1, shape)
```

`x, q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations.
If |

`scale, shape` |
positive scale and shape parameters. |

`log` |
Logical.
If |

See `explogff`

, the VGAM family function
for estimating the parameters,
for the formula of the probability density function and other details.

`dexplog`

gives the density,
`pexplog`

gives the distribution function,
`qexplog`

gives the quantile function, and
`rexplog`

generates random deviates.

We define `scale`

as the reciprocal of the scale parameter
used by Tahmasabi and Rezaei (2008).

J. G. Lauder and T. W. Yee

`explogff`

,
`exponential`

.

```
## Not run:
shape <- 0.5; scale <- 2; nn <- 501
x <- seq(-0.50, 6.0, len = nn)
plot(x, dexplog(x, scale, shape), type = "l", las = 1, ylim = c(0, 1.1),
ylab = paste("[dp]explog(shape = ", shape, ", scale = ", scale, ")"),
col = "blue", cex.main = 0.8,
main = "Blue is density, orange is cumulative distribution function",
sub = "Purple lines are the 10,20,...,90 percentiles")
lines(x, pexplog(x, scale, shape), col = "orange")
probs <- seq(0.1, 0.9, by = 0.1)
Q <- qexplog(probs, scale, shape = shape)
lines(Q, dexplog(Q, scale, shape = shape), col = "purple", lty = 3, type = "h")
lines(Q, pexplog(Q, scale, shape = shape), col = "purple", lty = 3, type = "h")
abline(h = probs, col = "purple", lty = 3)
max(abs(pexplog(Q, scale, shape = shape) - probs)) # Should be 0
## End(Not run)
```

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