On Logarithmic Approximations for the One-Sided Binomial Confidence Interval

Lonnie Turpin () and William Jens ()
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Lonnie Turpin: McNeese State University
William Jens: McNeese State University

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 12, 254-260

Abstract: Abstract 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.

Keywords: One-sided binomial confidence interval; Logarithmic approximation; Optimization; 62F25; 90C30 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1257-x

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