On the Information Matrix in Mixed Logit Models Estimation
Bibliographic record
Abstract
Advanced discrete choice models—in particular, mixed logit models—are used extensively in transportation. Although much progress in estimation techniques has made them numerically appealing, their properties have not been fully explored. This lack of exploration sometimes leads to confusing quality measurements and misinterpretation of the estimates. In this paper, the regularity conditions for which the information equality holds are reviewed, and some underlying technical difficulties in the context of mixed logit modeling are discussed. This paper specifically addresses the questions of correlations between estimated parameters and the validity of the asymptotic normality assumption in complex models, as nonparametric formulations. In the latter case, the population is resampled with the use of bootstrap principles to construct confidence intervals on the estimated parameters. Numerical tests on simulated data are presented to assess the relevance of the problem and the validity of the methods proposed.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.024 | 0.140 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.004 | 0.004 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.003 | 0.007 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".