Ordering results for random maxima and minima from two dependent Kumaraswamy-generalized distributed samples
Why this work is in the frame
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Bibliographic record
Abstract
Let {X1,…,XN1} and {Y1,…,YN2} be two sequences of interdependent heterogeneous samples, where for i=1,…,N1, Xi∼Kw−G(x,αi,γi;G) and for i=1,…,N2, Yi∼Kw−G(x,βi,δi;H), where G and H are baseline distributions in the Kumaraswamy-generalized model and N1 and N2 are two positive integer-valued random variables, independently of Xi′s and Yi′s, respectively. In this article, we establish several stochastic orders, such as usual stochastic, hazard rate, reversed hazard rate, dispersive and likelihood ratio orders between the random maxima (XN1:N1 and YN2:N2) and the random minima (X1:N1 and X1:N2), when the sample sizes are different and random (positive).
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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 | 0.000 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| 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