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

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

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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

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

Abstract 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. Keywords and phrases: type II censored sampleRayleigh life modelBayesian approachposterior densitypredictive density

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 imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation 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: none
Teacher disagreement score0.932
Threshold uncertainty score0.282

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

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