Sample image taken from Schweder T, Hjort NL. (2016)

Here we list some papers that discuss the theory and applications of confidence distributions.^1–16

References

1. Birnbaum A. A unified theory of estimation, I. The Annals of Mathematical Statistics. 1961;32(1):112-135. doi:10.1214/aoms/1177705145

2. Rafi Z, Greenland S. Semantic and cognitive tools to aid statistical science: Replace confidence and significance by compatibility and surprise. BMC Medical Research Methodology. 2020;20(1):244. doi:10.1186/s12874-020-01105-9

3. Fraser DAS. The P-value function and statistical inference. The American Statistician. 2019;73(sup1):135-147. doi:10.1080/00031305.2018.1556735

4. Fraser DAS. P-Values: The Insight to Modern Statistical Inference. Annual Review of Statistics and Its Application. 2017;4(1):1-14. doi:10.1146/annurev-statistics-060116-054139

5. Poole C. Beyond the confidence interval. American Journal of Public Health. 1987;77(2):195-199. doi:10.2105/AJPH.77.2.195

6. Poole C. Confidence intervals exclude nothing. American Journal of Public Health. 1987;77(4):492-493. doi:10.2105/ajph.77.4.492

7. Schweder T, Hjort NL. Confidence and Likelihood*. Scandinavian Journal of Statistics. 2002;29(2):309-332. doi:10.1111/1467-9469.00285

8. Schweder T, Hjort NL. Confidence, Likelihood, Probability: Statistical Inference with Confidence Distributions. Cambridge University Press; 2016. https://books.google.com/books/about/Confidence_Likelihood_Probability.html?id=t7KzCwAAQBAJ.

9. Singh K, Xie M, Strawderman WE. Confidence distribution (CD) – distribution estimator of a parameter. arXiv. August 2007. https://arxiv.org/abs/0708.0976.

10. Sullivan KM, Foster DA. Use of the confidence interval function. Epidemiology. 1990;1(1):39-42. doi:10.1097/00001648-199001000-00009

11. Whitehead J. The case for frequentism in clinical trials. Statistics in Medicine. 1993;12(15-16):1405-1413. doi:10.1002/sim.4780121506

12. Xie M-g, Singh K. Confidence Distribution, the Frequentist Distribution Estimator of a Parameter: A Review. International Statistical Review. 2013;81(1):3-39. doi:10.1111/insr.12000

13. Rothman KJ, Greenland S, Lash TL. Precision and statistics in epidemiologic studies. In: Rothman KJ, Greenland S, Lash TL, eds. Modern Epidemiology. 3rd ed. Lippincott Williams & Wilkins; 2008:148-167. https://books.google.com/books/about/Modern_Epidemiology.html?id=Z3vjT9ALxHUC.

14. Rücker G, Schwarzer G. Beyond the forest plot: The drapery plot. Research Synthesis Methods. April 2020. doi:10.1002/jrsm.1410

15. Rothman KJ, Johnson ES, Sugano DS. Is flutamide effective in patients with bilateral orchiectomy? The Lancet. 1999;353(9159):1184. doi:10.1016/s0140-6736(05)74403-2

16. Cox DR. Discussion. International Statistical Review. 2013;81(1):40-41. doi:10/gg9s2f

Background Literature

References