ABSTRACT
This chapter provides the fish species data as an example of fitting different discrete count distributions to data; the hospital stay data as an example of fitting binomial type distributions. It discusses the film data as an example of fitting smooth two-dimensional surfaces to a continuous response variable. The chapter presents some interesting applications of Generalized additive models for location scale and shape (GAMLSS) models which could be useful to the reader. The first example, the fish species data, is a very simple regression example where the response variable is an overdispersed count. It is used to demonstrate the different overdispersed distributions which can be fitted within GAMLSS. The second example is the hospital stay data, which has an overdispersed binomial type response variable. GAMLSS has been used in a variety of applied fields including: social science, environmental science, finance, actuarial science, biology, biosciences, energy, genomics, fisheries, food consumption, growth curve estimation, marine research, medicine, meteorology, rainfalls, and vaccines.
