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Record W4252172446 · doi:10.1002/9781119501459.ch7

Confidence Region Estimation

2018· other· en· W4252172446 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

Venuenot available
Typeother
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsBritish Columbia Institute of Technology
Fundersnot available
KeywordsEstimatorStatisticsConfidence intervalMathematicsMean squared errorPoint estimationInterval estimationPopulationRatio estimatorCDF-based nonparametric confidence intervalBootstrapping (finance)Standard deviationConfidence distributionBias of an estimatorEconometricsMinimum-variance unbiased estimator

Abstract

fetched live from OpenAlex

Estimation in statistics is a procedure for making deductions about population using information derived from a sample. The unbiasedness of an estimator ensures that an average value of the estimator will tend to a value that is equal to the unknown parameter. This chapter discusses two types of estimators: point estimators and interval estimators. While point estimators produce single estimates, interval estimators produce confidence intervals. Mean squared error (MSE) of an estimator is the average of the square of the deviation of the estimator from the quantity estimated. The chapter describes the construction of confidence intervals for population means, population variances, and ratio of two population variances. Confidence interval estimation is used to mean the same thing as one-dimensional confidence region estimation. The chapter also describes the construction of standard and confidence error ellipses for absolute and relative cases in geomatics.

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)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
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 score0.307
Threshold uncertainty score0.997

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.001
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)0.0040.000

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 head0.188
GPT teacher head0.472
Teacher spread0.284 · 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

Quick stats

Citations0
Published2018
Admission routes1
Has abstractyes

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