qWeibullDist | R Documentation |

Density (PDF), distribution function (CDF), quantile function (inverted CDF), random generation, exepcted value, and hazard function for the q-Weibull distribution.

```
dqweibull(x, a = .8, qdist = 1.2, b = 1, forceExpectation = F)
pqweibull(q, a = .8, qdist = 1.2, b = 1, forceExpectation = F)
qqweibull(p, a = .8, qdist = 1.2, b = 1, forceExpectation = F)
rqweibull(n = 1, a = .8, qdist = 1.2, b = 1, forceExpectation = F)
qweibullExpectation(a = .8, qdist = 1.2, b = 1)
qweibullHazard(x, a = .8, qdist = 1.2, b = 1, forceExpectation = F)
```

`x` , `q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations. |

`a` , `qdist` , `b` |
parameters, see 'Details'. |

`forceExpectation` |
logical; if |

The PDF for the q-Weibull distribution is:

`f(\epsilon) = (2-q)\frac{a}{b^a} \epsilon^{a-1} \left[1-(1-q)\left(\frac{\epsilon}{b}\right)^a\right]^{\frac{1}{1-q}}`

The distribution was used for ACD models by Vuorenmaa (2009).

Vuorenmaa, T. (2009)
*A q-Weibull Autoregressive Conditional Duration Model with an Application to NYSE and HSE data.* Available at SSRN: http://ssrn.com/abstract=1952550.

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