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Income Distribution Models

2005· other· en· W1505191810 on OpenAlexaff
Camilo Dagum

Bibliographic record

VenueEncyclopedia of Statistical Sciences · 2005
Typeother
Languageen
FieldSocial Sciences
TopicIncome, Poverty, and Inequality
Canadian institutionsUniversity of Ottawa
Fundersnot available
KeywordsRemainderOutcome (game theory)Pareto principleAnalogyEconometricsTransformation (genetics)Distribution (mathematics)Computer scienceSet (abstract data type)Socioeconomic statusEconomic modelMathematical economicsProbability distributionMathematicsStatisticsEconomicsPopulationSociologyDemography

Abstract

fetched live from OpenAlex

Abstract Since Pareto specified his Type I model in 1895, scores of income distribution (ID) models have been proposed. Many of them follow Edgeworth's approach, starting with a probability function and a transformation of its random variable, to derive a positive asymmetric distribution as an ID model. Some of them are supported by a realistic scientific foundation, others are the outcome of a formal analogy, and the remainder are only ad hoc specifications. Almost all of these models are organized here in three generating systems, and their respective foundations are outlined. We introduce a set of seven basic properties to be fulfilled by a probability distribution for consideration as an ID model. Their main purpose is to guide researchers in the evaluation and choice of an appropriate and robust model to describe observed IDs in different epochs and countries in different states of socioeconomic development, and according to several socioeconomic attributes of the observed populations of economic units.

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)0.001
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: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.764
Threshold uncertainty score0.991

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.003
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0100.000

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 head0.027
GPT teacher head0.332
Teacher spread0.305 · 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 designNot applicable
Domainnot available
GenreOther

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

Citations26
Published2005
Admission routes1
Has abstractyes

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