Hierarchical Bayesian models for small area estimation with GB2 distribution
© 2025 Informa UK Limited, trading as Taylor & Francis Group.
| Veröffentlicht in: | Journal of applied statistics. - 1991. - 52(2025), 13 vom: 18., Seite 2448-2477 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2025
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| Zugriff auf das übergeordnete Werk: | Journal of applied statistics |
| Schlagworte: | Journal Article Bayesian bootstrap Bayesian statistics GB2 distribution generalized gamma distribution metropolis sampler skewed distribution |
| Zusammenfassung: | © 2025 Informa UK Limited, trading as Taylor & Francis Group. We present predictive hierarchical Bayesian models to fit continuous, and positively skewed size data from small areas with the generalized beta of the second kind (GB2) distribution. We discuss three different GB2 mixture models. In the models, we have implemented the technique of small areas estimation. The posterior distributions of these models are complex. We have used Taylor series approximations, grid sampling and Metropolis samplers to fit the models. We have applied our models to the per-capita consumption size data from the second Nepal Living Standards Survey. We choose the best fitted model from the three GB2 mixture models. With the best fitted model, we provide small area estimation of poverty indicators by linking the survey data with the census data. A simulation study is provided |
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| Beschreibung: | Date Completed 06.10.2025 Date Revised 06.10.2025 published: Electronic-eCollection Citation Status PubMed-not-MEDLINE |
| ISSN: | 0266-4763 |
| DOI: | 10.1080/02664763.2025.2475349 |