Unit-Chen distribution and its quantile regression model with applications
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
The need for new statistical distributions that can effectively fit real datasets on the unit interval is crucial in data analysis. This article introduces a new family of statistical distributions on the unit interval, called the unit-Chen distribution, derived from the two-parameter Chen distribution. The statistical properties of the proposed distribution are discussed, along with a quantile regression model based on the unit-Chen distribution. Both maximum likelihood and Bayesian procedures are used to estimate the model’s parameters. For the Bayesian approach, two methods of approximate Bayesian computation (ABC) are employed: the accept-reject (AR) method and sampling importance resampling (SIR) method. A simulation study is provided to investigate the properties of the maximum likelihood method applied. Based on well-known diagnostic tests, the simulation data presented in this paper is appropriate. To demonstrate the applicability of the proposed models, real-life datasets (four using unit-Chen and one using unit-Chen regression) are analyzed. The performance of the proposed models is compared with other well-known distributions. The comparison results indicate that the unit-Chen and unit-Chen regression models fit the data better than the competitive models applied in this study.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 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