Description Usage Arguments Details Value Author(s) References See Also Examples

This function provides four plots for checking the normalized (randomized for a discrete response distribution) quantile
residuals of a fitted GAMLSS object, referred to as residuals below : a plot of residuals against fitted values, a plot of the residuals against
an index or a specific explanatory variable, a density plot of the residuals and a normal Q-Q plot of the residuals.
If argument `ts=TRUE`

then the first two plots are replaced by the autocorrelation function (ACF) and partial autocorrelation function (PACF)
of the residuals

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`x` |
a GAMLSS fitted object |

`xvar` |
an explanatory variable to plot the residuals against |

`parameters` |
plotting parameters can be specified here |

`ts` |
set this to TRUE if ACF and PACF plots of the residuals are required |

`summaries` |
set this to FALSE if no summary statistics of the residuals are required |

`...` |
further arguments passed to or from other methods. |

This function provides four plots for checking the normalized (randomized) quantile residuals (called `residuals`

) of a fitted GAMLSS object.
Randomization is only performed for discrete response variables. The four plots are

residuals against the fitted values (or ACF of the residuals if

`ts=TRUE`

)residuals against an index or specified x-variable (or PACF of the residuals if

`ts=TRUE`

)kernel density estimate of the residuals

QQ-normal plot of the residuals

For time series response variables option `ts=TRUE`

can be used to plot the ACF and PACF functions of the residuals.

Returns four plots related to the residuals of the fitted GAMLSS model and prints summary statistics for the residuals if the `summary=T`

Mikis Stasinopoulos d.stasinopoulos@londonmet.ac.uk, Bob Rigby and Kalliope Akantziliotou

Rigby, R. A. and Stasinopoulos D. M. (2005). Generalized additive models for location, scale and shape,(with discussion),
*Appl. Statist.*, **54**, part 3, pp 507-554.

Rigby, R. A., Stasinopoulos, D. M., Heller, G. Z., and De Bastiani, F. (2019)
*Distributions for modeling location, scale, and shape: Using GAMLSS in R*, Chapman and Hall/CRC. An older version can be found in https://www.gamlss.com/.

Stasinopoulos D. M. Rigby R.A. (2007) Generalized additive models for location scale and shape (GAMLSS) in R.
*Journal of Statistical Software*, Vol. **23**, Issue 7, Dec 2007, https://www.jstatsoft.org/v23/i07/.

Stasinopoulos D. M., Rigby R.A., Heller G., Voudouris V., and De Bastiani F., (2017)
*Flexible Regression and Smoothing: Using GAMLSS in R*, Chapman and Hall/CRC.

(see also https://www.gamlss.com/).

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