On Logarithmic Approximations for the One-Sided Binomial Confidence Interval

  • Lonnie TurpinJr.
  • William JensJr.


A one-sided binomial confidence interval occurs when all trials are successful or unsuccessful. This research considers the case when all trials are successful, and derives logarithmic approximations for the variable lower-bound under two common significance levels. We then establish ranges on the sample size for which the absolute differences between the approximations and the exact lower-bound are less than the chosen level.


One-sided binomial confidence interval Logarithmic approximation Optimization 

Mathematics Subject Classification

62F25 90C30 



The authors would like to thank the Editor and the anonymous referees for their insightful comments, which greatly improved the presentation of this work.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.McNeese State UniversityLake CharlesUSA

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