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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