- Parameter Estimation:
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Premise = choice of model (pick specific \( i \))
\( \Rightarrow \) What can we say about \( \boldsymbol{\alpha}_i \)?
- Model comparison:
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Premise = \( \{M_i\} \)
\( \Rightarrow \) What can we say about \( i \)?
- Model adequacy:
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Premise = \( M_1 \)
\( \Rightarrow \) Is \( M_1 \) adequate?
- Hybrid Uncertainty:
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Models share some common params: \( \boldsymbol{\alpha}_1 = \{ \boldsymbol{\varphi}, \boldsymbol{\eta}_i\} \)
\( \Rightarrow \) What can we say about \( \boldsymbol{\varphi} \)? (Systematic error is an example)