genray | R Documentation |

Density, distribution function, quantile function and random generation for the generalized Rayleigh distribution.

```
dgenray(x, scale = 1, shape, log = FALSE)
pgenray(q, scale = 1, shape, lower.tail = TRUE, log.p = FALSE)
qgenray(p, scale = 1, shape, lower.tail = TRUE, log.p = FALSE)
rgenray(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 |

`lower.tail` , `log.p` |
Same meaning as in |

See `genrayleigh`

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

`dgenray`

gives the density,
`pgenray`

gives the distribution function,
`qgenray`

gives the quantile function, and
`rgenray`

generates random deviates.

We define `scale`

as the reciprocal of the scale parameter
used by Kundu and Raqab (2005).

Kai Huang and J. G. Lauder and T. W. Yee

`genrayleigh`

,
`rayleigh`

.

```
## Not run:
shape <- 0.5; Scale <- 1; nn <- 501
x <- seq(-0.10, 3.0, len = nn)
plot(x, dgenray(x, shape, scale = Scale), type = "l", las = 1, ylim = c(0, 1.2),
ylab = paste("[dp]genray(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, pgenray(x, shape, scale = Scale), col = "orange")
probs <- seq(0.1, 0.9, by = 0.1)
Q <- qgenray(probs, shape, scale = Scale)
lines(Q, dgenray(Q, shape, scale = Scale), col = "purple", lty = 3, type = "h")
lines(Q, pgenray(Q, shape, scale = Scale), col = "purple", lty = 3, type = "h")
abline(h = probs, col = "purple", lty = 3)
max(abs(pgenray(Q, shape, scale = Scale) - probs)) # Should be 0
## End(Not run)
```

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.