GAMLSS is a modern distribution-based approach to (semiparametric) regression models, where all the parameters of the assumed distribution for the response can be modelled as additive functions of the explanatory variables
The GAMLSS framework of statistical modelling is implemented in a series of packages in R. The packages can be downloaded from the R library, CRAN.
One book on GAMLSS will be published soon while two others are in preparation: i) Flexible Regression and Smoothing: Using GAMLSS in R . ii) Distributions for Location Scale and Shape, the GAMLSS implementation in R iii) Generalised Additive Models for Location Scale and Shape: A Distributional Regression Approach. Draft versions of the first two books and other booklets can be found in Books & Articles The GAMLSS article on the Journal of Statistical Software can be useful (but a bit outdated) for a short introduction. Also some useful material can be found on short course booklets.
GAMLSS provide over 90 continuous, discrete and mixed distributions for modelling the response variable. Truncated, censored, log and logit transformed and finite mixture versions of these distributions can be also used.
P-splines, Cubic splines, loess smoothing, ridge regression, lasso regression, random effects and varying coefficient models are some of the additive functions provided in the implementation. Appropriate interface is also provided so GAMLSS models can be used in combination with random effect models from the lme() function of the nlme package, smoothers from the gam() function (of package mgcv), the neural network function nnet() (of package nnet) , and decision threes (of package apart).
GAMLSS has been used in a variety of fields including: actuarial science, biology, biosciences, energy economic, genomics, finance, fisheries, food consumption, growth curves centile estimation, marine research, medicine, meteorology, rainfalls, vaccines, e.t.c. The World Health Organisation, the International Monetary Fund and the European Commission are some of international organisations who used GAMLSS.
Version 4.4-0 1. gamlss i) the term.plot() did not plot (by mistake) a gam object. This is now corrected ii) the vis.lo() is introduced for plotting fitted loess curve iii) VC.test() for Vuong and Clarke test is introduced (use with caution) iv) the function stepVGDAll.A() is introduced. v) Q.stats() function is amended so the number […]
1. package: gamlss i) The glim.fit() function within gamlss() has a line added to prevent the iterative weighs wt to go to Inf. ii) The tp() function within lms() and quantSheets() has changed name and modified slightly iii) The vcoc.gamlss() has the warnings changed and allows if theinverse of the Hessian (R) fails to recalucated […]
Version 4.2-7 i) gamlss gamlssML(): now allows the fitting binomial data (sorry it never checked before) and the use of formula in the specification of the model (e.g, y~1) to be consistent with gamlss(). Note that explanatory variables will be ignored if used with gamlssML(). .gamlss.multin.list is now on NAMESPACE the functions vcov.gamlss() and summary.gamlss() […]
This version is released on the 22–6-2013 and it is the first time that robust (sandwich) standard errors are introduce in gamlss models. Of course those standard errors apply to parametric GAMLSS models only. When non-parametric smoothing terms are used then the (sandwich) standard errors can still be used with caution since they are not yet take […]
Version 4.2-5 The most important change in this version of gamlss is the way that the standard errors are calculated. In previous version the vcov() function was calculated using a final iteration to a non-linear maximisation procedure. This procedure failed in a lot of occasions and the result was that the reported standard errors […]
The new version of gamlss is 4.2-0. The following are the changes made: package gamlss: The functions prof.dev() and prof.term() are improved. The argument step is not anymore compulsory and if not set the argument length is used instead. For most cases there is no need to have a fine grid since the function is approximated using splinefun(). The output is […]
The new features in version 2.1-2 are as follows: package gamlss: The function histSmo() is added for density estimation. The function histDist() now has the function gamlssML() as its main fitting function. The fitting function gamlss() is only used if gamlssML() fails. The function gamlssML() has now an argument start.from. In the function fitDist(), the normal distribution NO() is added to the list of “.realline” so it also appears […]