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1. The different models
A statistical problem can be characterized by the fact that observations are given from an unknown probability distribution, and a decision has to be made on the basis of these observations. This decision can be a point estimate, a test, a confidence interval, a forecast... .
The set of observed variables is summarized by a random variable X, with values in a space E, and whose law μ X belongs to the family P of possible laws. The triplet M = (E, B, P), where B is the class of probabilistic parts of E, is then called a statistical model.
The statistician chooses a decision rule δ and,...
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The different models
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The Ultimate Scientific and Technical Reference