On Logarithmic Approximations for the One-Sided Binomial Confidence Interval

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 s...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 177; no. 1; pp. 254 - 260
Main Authors Turpin, Lonnie, Jens, William
Format Journal Article
LanguageEnglish
Published New York Springer US 01.04.2018
Springer Nature B.V
Subjects
Applications of Mathematics
Approximation
Calculus of Variations and Optimal Control; Optimization
Confidence intervals
Engineering
Lower bounds
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Theory of Computation
90C30
One-sided binomial confidence interval
Logarithmic approximation
62F25
Optimization
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Summary: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.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-018-1257-x