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Record W4249156837 · doi:10.1002/9781119214656.ch2

Location and Scale

2018· other· en· W4249156837 on OpenAlex

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.

Bibliographic record

VenueWiley series in probability and statistics · 2018
Typeother
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsUniversity of British ColumbiaStatistics Canada
Fundersnot available
KeywordsEstimatorConfidence intervalMathematicsRobustness (evolution)Applied mathematicsStatisticLocation parameterStatisticsNewton's methodConfidence regionLeast absolute deviationsM-estimatorCoverage probabilityNormal distributionScale (ratio)Nonlinear system

Abstract

fetched live from OpenAlex

This chapter establishes a general family of estimators that contains the mean and the median as special cases. There are several methods available for computing M-estimators of location and/or scale. In principle one could use any of the general methods for equation solving such as the Newton-Raphson algorithm, but methods based on derivatives may be unsafe with the types of ρ-functions and Ψ-functions that yield good robustness properties. Approximate confidence intervals for a parameter of interest can be obtained from the asymptotic distribution of a parameter estimator. Robust tests can be derived from a “robust t-statistic” in the same way as was done with confidence intervals. The robust t-like confidence intervals and test are easy to apply. The Newton-Raphson procedure is a widely used iterative method for the solution of nonlinear equations. For location the bisquare M-estimator with median absolute deviation scale, and the confidence intervals are recommended.

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)0.002
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: Methods
Teacher disagreement score0.053
Threshold uncertainty score0.898

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
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 head0.055
GPT teacher head0.363
Teacher spread0.309 · 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