Cumulant Hierarchy
The full cumulant tower locks risk aversion, prudence, and temperance to a single parameter .
Impact Score
Score Reasoning
- Importance
- Important supporting result that locks higher-order risk preferences (prudence, temperance) to the single CES parameter rho. Extends the variance-response identity to the full cumulant structure.
- Novelty
- Completely new framework connecting CES cumulant generating function to the full hierarchy of risk preferences. The moment recursion d/drho M_n = M_{n+1} - M_n*M_1 appears to be original.
- Quality
- Well-structured article at 4404 chars with clear hierarchy table, moment recursion, and cross-links to variance-response and estimation-paradox.