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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).For the one-fold nested error regression model with the random components following SN distribution, the empirical best linear unbiased prediction (EBLUP) and the empirical best (EB) estimators of linear parameters are provided.Under the same model, EB estimators of complex parameters are developed following the approach introduced by Molina and Rao (2010).A simpler conditional alternative method is compared to the previously mentioned method.The semi-parametric method developed by Elbers et al. (2003) is improved by correctly assigning the area effects.A parametric bootstrap approach for the MSE estimation of the EB estimator and a semi-parametric bootstrap method for the ELL method are specified.An HB method for estimating complex parameters is also presented.The HB method uses Monte Carlo (MC) simulations and sampling importance resampling (SIR) techniques no

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)0.013
metaresearch head score (Gemma)0.046
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: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.013
Threshold uncertainty score0.070

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0130.046
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0010.001
Science and technology studies0.0000.002
Scholarly communication0.0010.003
Open science0.0020.002
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0020.001

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 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
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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Same topicStatistical Distribution Estimation and ApplicationsFrench-language works237,207