Almost Sure lim sup Behavior of Dependent Bootstrap Means
Why this work is in the frame
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Bibliographic record
Abstract
Abstract In this article, the upper bound for the exact convergence rate (i.e., the law of the logarithm type result) is obtained for dependent bootstrap means. Keywords: Bootstrap meansDependent bootstrapKolmogorov exponential inequalityLaw of the logarithmPairwise i.i.d. sequencesStationary ergodic sequencesMathematics Subject Classification: Primary 62E20, 62G05Secondary 60F15 ACKNOWLEDGMENTS The work of A. Volodin is supported by a grant from the National Sciences and Engineering Research Council of Canada. The work of M. Ordóñez Cabrera is supported by grants BFM 2000-0344-C0201 and FQM 127. The work of T.-C. Hu is supported by the grant NSC91-2118-M-007-008. The authors are exceptionally grateful to the referee for offering helpful remarks and comments that improved presentation of the paper.
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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 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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