MétaCan
Menu
Back to cohort
Record W4256484418 · doi:10.1137/s0040585x97979615

On Consistency of Bayes Procedures

2003· article· en· W4256484418 on OpenAlexaff
A. Y. LoAY Lo, V. V. Sazonov

Bibliographic record

VenueTheory of Probability and Its Applications · 2003
Typearticle
Languageen
FieldComputer Science
TopicBayesian Methods and Mixture Models
Canadian institutionsUniversity of British Columbia
Fundersnot available
KeywordsMathematicsPrior probabilityBayes' theoremConsistency (knowledge bases)Invariant (physics)SigmaStatistical modelApplied mathematicsClass (philosophy)Bayes error rateStrong consistencyStatisticsPure mathematicsCombinatoricsDiscrete mathematicsBayes classifierBayesian probabilityComputer scienceArtificial intelligencePhysicsMathematical physics

Abstract

fetched live from OpenAlex

For a wide class of statistical models with $\sigma $-finite priors, sufficient conditions for consistency of Bayes procedures for almost all values of the parameter are given. For a more restrictive class of invariant statistical models with some $\sigma $-finite priors, we give sufficient conditions for consistency of Bayes procedures for all values of the parameter. Particular cases of these invariant statistical models include the location model on a locally compact Polish group, rotation invariant families on the unit sphere in $\mathbf{R}^k$, and the scale-location model in $\mathbf{R}^k$.

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)0.111
metaresearch head score (Gemma)0.417
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: Empirical · Consensus signal: none
Teacher disagreement score0.111
Threshold uncertainty score0.585

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.1110.417
Meta-epidemiology (narrow)0.0030.003
Meta-epidemiology (broad)0.0050.006
Bibliometrics0.0070.004
Science and technology studies0.0040.012
Scholarly communication0.0070.014
Open science0.0070.009
Research integrity0.0100.014
Insufficient payload (model declined to judge)0.0070.003

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 head0.023
GPT teacher head0.265
Teacher spread0.242 · 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
GenreEmpirical

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

Citations0
Published2003
Admission routes1
Has abstractyes

Explore more

Same venueTheory of Probability and Its ApplicationsSame topicBayesian Methods and Mixture ModelsFrench-language works237,207