Description Usage Arguments Value References Examples

Mean, variance, skewness, kurtosis and moments about the location parameter (i.e., *α*th quantile) of the quantile-based asymmetric logistic distribution defined in Gijbels et al. (2019a) useful for quantile regression with location parameter equal to *μ*, scale parameter *φ* and index parameter *α*.

1 2 3 4 5 6 7 8 9 | ```
meanALoD(mu, phi, alpha)
varALoD(mu, phi, alpha)
skewALoD(alpha)
kurtALoD(alpha)
momentALoD(phi, alpha, r)
``` |

`mu` |
This is the location parameter |

`phi` |
This is the scale parameter |

`alpha` |
This is the index parameter |

`r` |
This is a value which is used to calculate the |

`meanALoD`

provides the mean, `varALoD`

provides the variance, `skewALoD`

provides the skewness, `kurtALoD`

provides the kurtosis, and `momentALoD`

provides the *r*th moment about the location parameter *μ* of the quantile-based asymmetric logistic distribution.

Gijbels, I., Karim, R. and Verhasselt, A. (2019a). On quantile-based asymmetric family of distributions: properties and inference. *International Statistical Review*, https://doi.org/10.1111/insr.12324.

1 2 3 4 5 6 | ```
# Example
meanALoD(mu=0,phi=1,alpha=0.5)
varALoD(mu=0,phi=1,alpha=0.5)
skewALoD(alpha=0.5)
kurtALoD(alpha=0.5)
momentALoD(phi=1,alpha=0.5,r=1)
``` |

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.