Bayesian Credible Sets for a Binomial Proportion Based on One-Sample Binary Data Subject to One Type of Misclassification
| Autor: | Dewi Rahardja, Yan D. Zhao, Hongmei Zhang |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0301 basic medicine
Posterior probability Variable-order Bayesian network Statistics::Computation Bayesian statistics 03 medical and health sciences ComputingMethodologies_PATTERNRECOGNITION 030104 developmental biology 0302 clinical medicine 030220 oncology & carcinogenesis Statistics Bayesian experimental design Credible interval Bayesian hierarchical modeling Bayesian linear regression Bayesian average Mathematics |
| Zdroj: | Journal of Data Science. 10:51-59 |
| ISSN: | 1683-8602 1680-743X |
| Popis: | Interval estimation for the proportion parameter in one-sample misclassied binary data has caught much interest in the literature. Re- cently, an approximate Bayesian approach has been proposed. This ap- proach is simpler to implement and performs better than existing frequen- tist approaches. However, because a normal approximation to the marginal posterior density was used in this Bayesian approach, some eciency may be lost. We develop a closed-form fully Bayesian algorithm which draws a posterior sample of the proportion parameter from the exact marginal posterior distribution. We conducted simulations to show that our fully Bayesian algorithm is easier to implement and has better coverage than the approximate Bayesian approach. |
| Databáze: | OpenAIRE |
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