A generalized Agresti–Coull type confidence interval for a binomial proportion

Keywords

Binomial proportion confidence interval, Confidence interval, Mathematics, Credible interval, CDF-based nonparametric confidence interval

References

• BETTER SADDLEPOINT CONFIDENCE INTERVALS VIA BOOTSTRAP CALIBRATIONXiaodong Zheng — 1998
• Confidence Intervals for a binomial proportion and asymptotic expansionsLawrence D. Brown, Tommaso Cai, Anirban Dasgupta — 2002
• One-sided confidence intervals in discrete distributionsTommaso Cai — 2005
• Interval estimation of binomial proportions based on weighted Polya posteriorSeung-Chun Lee — 2006
• Probable Inference, the Law of Succession, and Statistical InferenceEdwin B. Wilson — 1927
• A generalized score confidence interval for a binomial proportionYu Guan — 2012
• Interval Estimation for a Binomial ProportionLawrence D. Brown, Tommaso Cai, Anirban Dasgupta — 2001
• THE USE OF CONFIDENCE OR FIDUCIAL LIMITS ILLUSTRATED IN THE CASE OF THE BINOMIALC. J. Clopper, E. S. Pearson — 1934
• Approximate is Better than “Exact” for Interval Estimation of Binomial ProportionsAlan Agresti, Brent A. Coull — 1998
• Binomial and Multinomial Proportions: Accurate Estimation and Reliable Assessment of AccuracyJonathan M. Friedman — 2016
• Saddle point approximation for the distribution of the sum of independent random variablesR. Lugannani, Stephen A. Rice — 1980
• Approximate Bayesianity of Frequentist Confidence Intervals for a Binomial ProportionShaobo Jin, Måns Thulin, Rolf Larsson — 2017

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• RMSE-minimizing confidence intervals for the binomial parameterKexin Feng, Lawrence M. Leemis, Heather Sasinowska — 2022
• Design of Intelligent Search System for Online Education based on Knowledge GraphYu Sun, Yun Li Bao, Lian He — 2023

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