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Record W4409237699 · doi:10.1080/03610926.2025.2479650

A unified Bayesian approach for modeling zero-inflated count and continuous outcomes

2025· article· en· W4409237699 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

VenueCommunication in Statistics- Theory and Methods · 2025
Typearticle
Languageen
FieldMathematics
TopicStatistical Methods and Bayesian Inference
Canadian institutionsMcMaster University
Fundersnot available
KeywordsZero (linguistics)Count dataBayesian probabilityEconometricsStatisticsComputer scienceMathematicsPoisson distribution

Abstract

fetched live from OpenAlex

This article reexamines zero-inflated count and semi-continuous models for analyzing data exhibiting an excess of zeros. Most of these models seem to share a common structure belonging to the exponential dispersion family (EDF) of distributions and the two-part hurdle model. When examining cross-sectional outcomes with a distribution belonging to the EDF, several hurdle models have been explored. This includes recently utilized models as well as some new models that are described in detail here. Then, a unified Markov Chain Monte Carlo (MCMC) method is presented for analyzing data with outcomes belonging to the EDF. Furthermore, a user-friendly R package called UHM (unified hurdle models) has been developed and made available on the Comprehensive R Archive Network (CRAN). This package enables users to easily obtain Bayesian estimates of parameters of interest for hurdle models. Finally, the methods developed in this study are applied to analyze two real datasets featuring count and continuous outcomes with a high prevalence of zero values. Additionally, simulation studies are performed to demonstrate and assess the performance of the proposed models.

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)0.007
metaresearch head score (Gemma)0.009
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch
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 score0.180
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0070.009
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
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)0.0000.000

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 head0.074
GPT teacher head0.450
Teacher spread0.376 · 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