The social welfare implications, decomposability, and geometry of the Sen family of poverty indices
Bibliographic record
Abstract
In this paper, we propose a unified framework for the Sen indices of poverty intensity that shows an explicit connection between the indices and the common underlying social evaluation function. We also identify the common multiplicative decomposition of the indices that allows simple and similar geometric interpretations and easy numerical computation. JEL Classification: C000, H000, O150 Implications en termes de bien‐être collectif, décomposabilité et géométrie de la famille d’indices de pauvretéà la Sen . Dans ce mémoire, les auteurs proposent un cadre d’analyse intégré des indices d’intensité de pauvretéà la Sen qui souligne la relation explicite entre ces indices et la fonction sociale d’évaluation commune qui les soustend. Les auteurs identifient aussi la décomposition multiplicative commune de ces indices qui permet d’en donner des interprétations géométriques simples et idoines et de faire des calculs numériques faciles.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".