Empirical Distribution of Nearest-Transmitter Distance in Wireless Networks Modeled by Matérn Hard Core Point Processes
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Bibliographic record
Abstract
Availability of the distribution of the distance between a generic location and the closest point to it from a point process is very crucial for the performance analysis of wireless networks modeled by such a point process. In this paper, we fit the empirical probability density function of the closest-point distance in the Matérn hard core point process of Type II to various existing distributions, and find that the Weibull distribution has the best goodness-of-fit among all other distributions examined (e.g., the gamma, log-normal and Rayleigh distributions). We also propose a better piecewise probability density function for the closest-point distance, including an exact expression and a heuristic formula that can be fitted by a Weibull-like function. Simulation results show that the proposed piecewise model has a very close goodness-of-fit to the empirical data.
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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 | 0.000 |
| 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