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Record W2799897083 · doi:10.22215/etd/2015-10654

Small Area Estimation Under Skew-Normal Nested Error Models

2015· dissertation· en· W2799897083 on OpenAlexaff
Mamadou Diallo

Bibliographic record

Venuenot available
Typedissertation
Languageen
FieldMathematics
TopicStatistical Distribution Estimation and Applications
Canadian institutionsCarleton University
Fundersnot available
KeywordsMathematicsEstimatorMarkov chain Monte CarloStatisticsMean squared errorMonte Carlo methodSkewnessSkew normal distributionParametric statisticsNormal distributionApplied mathematics

Abstract

fetched live from OpenAlex

In Small Area Estimation (SAE), the usual practice is to assume that the random components follow the normal distribution. A simulation study showed that under the one-fold nested error regression model assuming normal distribution may lead to large bias and significant increase of the mean squared error (MSE) of complex parameters (nonlinear function of the mean) estimation when the unit level errors' distribution is skewed. Hence, in this thesis, the assumption of normal distribution for the random components is relaxed by considering the skew-normal (SN) class of distributions. The SN class of distributions is very interesting because it contains the normal distribution family as a special case (when the skewness parameter is equal to zero).

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 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 categoriesMeta-epidemiology (narrow), Insufficient 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: none
Teacher disagreement score0.576
Threshold uncertainty score1.000

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 integrity0.0010.000
Insufficient payload (model declined to judge)0.0020.000

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 head0.253
GPT teacher head0.407
Teacher spread0.154 · 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 teacher head, not a consensus.

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

Citations2
Published2015
Admission routes1
Has abstractyes

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