Description Usage Arguments Value References See Also Examples

Density function and random generation for the Poisson-Tweedie family of distributions.

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`x` |
an object of class 'mlePT' or a non-negative vector containing the integers in which the distribution should be evaluated. |

`mu` |
numeric positive scalar giving the mean of the distribution. |

`D` |
numeric positive scalar giving the dispersion of the distribution. |

`a` |
numeric scalar smaller than 1 giving the shape parameter of the distribution. |

`tol` |
numeric scalar giving the tolerance. |

`n` |
integer scalar giving number of random values to return. |

`max` |
numeric scalar containing the maximum number of counts to be used in the sampling process. |

If 'x' is of class 'mlePT', 'dPT' will return the Poisson-Tweedie distribution with parameters equal to the ones estimated by 'mlePoissonTweedie' evaluated on the data that was used to estimate the parameters. If 'x' is a numeric vector, 'dPT' will return the density of the specified Poisson-Tweedie distribution evaluated on 'x'.

'rPT' generates random deviates.

Esnaola M, Puig P, Gonzalez D, Castelo R and Gonzalez JR (2013). A flexible count data model to fit the wide diversity of expression profiles arising from extensively replicated RNA-seq experiments. BMC Bioinformatics 14: 254

A.H. El-Shaarawi, R. Zhu, H. Joe (2010). Modelling species abundance using the Poisson-Tweedie family. Environmetrics 22, pages 152-164.

P. Hougaard, M.L. Ting Lee, and G.A. Whitmore (1997). Analysis of overdispersed count data by mixtures of poisson variables and poisson processes. Biometrics 53, pages 1225-1238.

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