4,427
edits
Bayesian data analysis: Difference between revisions
Jump to navigation
Jump to search
→Parametric formulation
No edit summary |
|||
| Line 23: | Line 23: | ||
== 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 | ||