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Predictive densities from the Rayleigh Life Model under Type II censored samples

2009· article· en· W2024201031 on OpenAlexafffund
Hafiz M. R. Khan, Serge B. Provost, Amparo Amparo

Bibliographic record

VenueJournal of Statistics and Management Systems · 2009
Typearticle
Languageen
FieldMathematics
TopicStatistical Distribution Estimation and Applications
Canadian institutionsWestern University
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsRayleigh distributionPredictive inferenceInferenceComputer scienceBayesian inferenceStatisticsBayesian probabilityHyperparameterStatistical inferenceHazardSample (material)EconometricsMathematicsData miningFrequentist inferenceMachine learningProbability density functionArtificial intelligence

Abstract

fetched live from OpenAlex

A tremendous amount of life data has been collected and analyzed in connection with recent advances in engineering and the biomedical sciences. It is desirable to make use of statistical and computational techniques that are at the cutting edge in order to reach valid conclusions about the nature of the underlying model. The Rayleigh distribution has been widely used for modelling life data and most studies on this distribution concentrate on inference about the parameters or on the reliability and hazard functions. This paper is concerned with predictive inference for future responses from a Rayleigh distribution given a type II censored sample by using the Bayesian approach. We are considering both one-parameter and two-parameter Rayleigh distributions. Predictive densities for future responses are derived with hyperparameters to obtain informative results about future responses.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.019
metaresearch head score (Gemma)0.063
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.019
Threshold uncertainty score0.099

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0190.063
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0020.002
Science and technology studies0.0010.004
Scholarly communication0.0020.004
Open science0.0030.002
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0060.001

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.

Opus teacher head0.071
GPT teacher head0.319
Teacher spread0.248 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2009
Admission routes2
Has abstractyes

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