“…First, in case of discrete data, multinomial models can be used, see for instance Bouguila et al (2003), Celeux and Govaert (1991) or Goldstein and Dillon (1978). Second, to tackle the case of heavytailed or asymmetric data, several extensions of Gaussian models have been recently introduced: Skew normal distribution (Vilca et al, 2014), t-distributions (Andrews andMcNicholas, 2012 or Forbes andWraith, 2014), asymmetric Laplace distribution (Franczak et al, 2014) and skew t-distributions (Lee andMcLachlan, 2013 or Wraith andForbes, 2015). Finally, an extension of the Gaussian mixture model to non quantitative data has been proposed by Bouveyron et.…”