A simple description of a probabilistic process that may have given rise to observed data. For example, if the data consist of the numbers shown by a fair die during a game of Snakes and Ladders, then a simple model would state that for each roll, and independent of the outcomes of other rolls, the distribution of the number shown is a discrete uniform distribution, on 1, 2,…, 6.
Models form the bedrock of Statistics. Specific distributions are often invoked. Many types of models are mentioned in this dictionary.
Subjects: Probability and Statistics.