Bayesian Statistical Inference For Laplacian Class of Matrix Variate Elliptically Contoured Models
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Bibliographic record
Abstract
In the context of a subclass of matrix variate elliptically contoured (MEC) models, namely Laplacian MEC, with location vector and dispersion matrix , where both are unknown, Bayesian inference is considered through vague prior knowledge firstly. At the second step, an informative prior is incorporated to derive posterior distributions of and . Afterward, the main result is thoroughly considered for matrix variate Student’s t-model and thus generalizing the result of Arnold Zellner (Zellner, 1976 Zellner, A. (1976). Bayesian and non-Bayesian analysis of the regression model with multivariate Student-t error terms. J. Amer. Statist. Assoc. 71(354): 400–405.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]).
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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 | 0.010 | 0.021 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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 it