Description Usage Arguments Details Value Note Author(s) See Also

Density, distribution function, quantile function, random generation, expected value, variance, median, and raw moments for the shape-decay parameterization of the Weibull distribution.

1 2 3 4 5 6 7 8 |

`x,q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations. If |

`shape, decay` |
shape and decay parameters. See Details. |

`log, log.p` |
logical; if |

`lower.tail` |
logical; if |

`r` |
the |

The `weisd`

distribution with `shape`

parameter *s* and `decay`

parameter *d* has density

*f(x) = s*d*x^(s-1) * exp(-d*x^s)*

for *x >= 0; s, d > 0*. Compared to the usual shape-scale parameterization used in `dweibull`

etc., with `shape`

parameter *a* and `scale`

parameter *b*, the relationship between the parameters is given by *a = s* and *b = d^(-1/s)*, or equivalently, *s = a* and *d = b^(-a)*.

`dweisd`

gives the density, `pweisd`

gives the distribution function, `qweisd`

gives the quantile function, and `rweisd`

generates random deviates. `eweisd`

gives the expected value, `vweisd`

gives the variance, and `medweisd`

gives the median for the specified parameters. `rmomweisd`

gives the `r`

th raw moment for the specified parameters; for example, `rmomweisd(1, 2, 3)`

is equivalent to `eweisd(2, 3)`

.

The distribution function, using the parameters given in Details, has the very simple form

*F(x) = 1 - exp(-d*x^s)*

from which other functions such as the hazard function are easily derived.

Daniel Dvorkin

`mvweisd`

for the multivariate version; `thetahat`

for parameter estimation; `Weibull`

in package `stats`

.

lcmix documentation built on May 31, 2017, 5 a.m.

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.