Reparameterization and Change of Variables
A guide distinguishing reparameterizations from changes of variables and explaining when log-Jacobian adjustments are required.
External resource. No execution or independent verification is claimed here.
Does a transformed one-dimensional density normalize correctly and recover known moments with the required Jacobian?
The evaluator derives the transformation analytically and uses independent quadrature to compare correct and deliberately omitted-Jacobian cases.
What you could produce
- A versioned minimal protocol, evaluator-owned test cases, and a comparison report with numerical/statistical uncertainty and failures.
Before you use it
- A separately qualified Stan runtime and compatible compiled toolchain; no Stan environment is available in the current pilot
Limits to keep in view
- No upstream example, source package, build hook or submitted code was executed.
- The current qualified pilot accepts only self-contained Python 3.13 with a 90-second deadline. This reference's package/runtime is not qualified for that path.
- The proposed protocol requires bounded resource estimates and an independently controlled evaluator before any scientific execution claim.
Source and permission context
Stan User's Guide / Stan Development Team. Reparameterization and Change of Variables. https://raw.githubusercontent.com/stan-dev/docs/1bc688a6f9a6c6931b7527c333345d2dcf6ee0bb/src/stan-users-guide/reparameterization.qmd; observed version 1bc688a6f9a6c6931b7527c333345d2dcf6ee0bb.
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