In this paper, we propose management of theproblem caused by overdispersed data by applying the generalized additive modelfor location, scale and shape framework (GAMLSS) as introduced by Rigby andStasinopoulos (2005). The idea of using a GAMLSS approach for handling ourproblem comes from the idea of Aitkin (1996) consisting in the use of an EM maximumlikelihood estimation algorithm (Dempster, Laird, and Rubin, 1977) to dealwith overdispersed generalized linear models (GLM). As in the GLM case, the algorithmis initially derived as a form of Gaussian quadrature assuming a normalmixing distribution. The GAMLSS specification allows the extension of the Aitkinalgorithm to probability distributions not belonging to the exponential family. Inparticular, aim of this work is to show the importance of using a GAMLSS strutcurewhen a mixture is used to provide a natural representation of heterogeneity in a finitenumber of latent classes (Celeux and Diebolt, 1992).
|Number of pages||31|
|Journal||THE INTERNATIONAL JOURNAL OF BIOSTATISTICS|
|Publication status||Published - 2020|