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Bayesian data analysis: Difference between revisions
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== Parametric formulation == | == Parametric formulation == | ||
The description of the system state is usually done by defining a parametric representation, e.g., by defining | The description of the system state is usually done by defining a parametric representation, e.g., by defining density or temperature profiles as a function of space via a vector of ''N'' parameters, α: ''n(r,α)'' or ''T(r,α)''. | ||
The parameters obey a prior distribution ''p(α)'', expressing physical or other constraints. | The parameters obey a prior distribution ''p(α)'', expressing physical or other constraints. | ||
Applying Bayes theorem one obtains | Applying Bayes theorem one obtains | ||