On Logarithmic Approximations for the One-Sided Binomial Confidence Interval
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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.
KeywordsOne-sided binomial confidence interval Logarithmic approximation Optimization
Mathematics Subject Classification62F25 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.