Probability Distribution of Maximum Load Generated by Stochastic Hazards Modeled as Shock, Pulse, and Alternating Renewal Processes
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Bibliographic record
Abstract
The distribution of the maximum load generated by stochastic and recurring hazards is of primary importance in structural reliability analysis. In the current literature, this distribution is estimated by either relying on the asymptotic extreme value theory or assuming that occurrences of a hazard follow the homogeneous Poisson process. However, assumptions underlying these approaches become questionable when the maximum load distribution is required for a short service life, such as in reliability assessment of temporary structures and aging infrastructure systems nearing the end of life (e.g., old nuclear plants). This paper fills this gap in the literature by presenting a more general and accurate solution for the probability distribution of the maximum load generated by stochastic hazards which can be modeled as shock, pulse, and alternating renewal processes. This work is a considerable advancement of the state of the art in probabilistic analysis of maximum value distribution.
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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 | 0.004 | 0.010 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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