JDSJournal of Data Science1683-86021680-743X1680-743XSchool of Statistics, Renmin University of ChinaJDS1161E10.6339/25-JDS1161EDiscussionDiscussion of “Power Priors for Leveraging Historical Data: Looking Back and Looking Forward”✩XieMingemxie@rutgers.edu1Department of Statistics, Rutgers University, USA
Main article: https://doi.org/10.6339/24-JDS1161.
Email: mxie@rutgers.edu.202542202523159612025 The Author(s). Published by the School of Statistics and the Center for Applied Statistics, Renmin University of China.2025Open access article under the CC BY license.The author’s work was partially supported by NSF-DMS2319260, NSF-DMS2311064, and NIH-1R01GM157610.ReferencesChenMH, GuanZ, LinM, SunM (2025). Power priors for leveraging historical data: Looking back and looking forward. Journal of Data Science., 23(1): 1–30. https://doi.org/10.6339/24-JDS1161ChenY, GongR, MgX (2020). Geometric conditions for the discrepant posterior phenomenon and connections to Simpson’s paradox. arXiv preprint: https://arxiv.org/abs/2001.08336EfronB (1986). Why isn’t everyone a Bayesian?American Statistician, 40(1): 1–5. https://doi.org/10.1080/00031305.1986.10475342ParmarMK, SpiegelhalterDJ, FreedmanLS (Chart Steering Committee) (1994). The CHART trials: Bayesian design and monitoring in practice. Statistics in Medicine, 13(13–14): 1297–1312. https://doi.org/10.1002/sim.4780131304RobertCP (2013). Discussion on “Confidence distribution, the frequentist distribution estimator of a parameter” by Xie and Singh. International Statistical Review, 81(1): 52–56. https://doi.org/10.1111/insr.12003SpiegelhalterDJ, FreedmanLS, ParmarMK (1994). Bayesian approaches to randomized trials. Journal of the Royal Statistical Society. Series A. Statistics in Society, 157(3): 357–387. https://doi.org/10.2307/2983527WassermanL (2008). Why isn’t everyone a Bayesian? In: The Science of Bradley Efron, 260–267. Springer.XieM (2013). Rejoinder to discussions of “Confidence distribution, the frequentist distribution estimator of a parameter: A review”. International Statistical Review, 81(1): 68–77. https://doi.org/10.1111/insr.12001XieM, LiuRY, DamarajuCV, OlsonWH (2013). Incorporating external information in analyses of clinical trials with binary outcomes. Annals of Applied Statistics, 7(1): 342–368. https://doi.org/10.1214/12-AOAS585XieM, SinghK (2013). Confidence distribution, the frequentist distribution estimator of a parameter: A review. International Statistical Review, 81(1): 3–39. https://doi.org/10.1111/insr.12000