Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability

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dc.creatorChen, Xinjia
dc.creatorZhou, Kemin
dc.creatorAravena, Jorge L.
dc.date2007-07-05
dc.date.accessioned2026-07-07T09:37:53Z
dc.date.available2026-07-07T09:37:53Z
dc.descriptionIn this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitation of normal approximation which is asymptotic in nature and thus inevitably introduce unknown errors in applications. Moreover, the formula is very tight in comparison with classic Clopper-Pearson's approach from the perspective of interval width. Based on the rigorous formula, we also obtain approximate formulas with excellent performance of coverage probability.
dc.description20 pages, 27 figures
dc.identifierhttps://arxiv.org/abs/0707.0837
dc.identifierhttp://arxiv.org/abs/0707.0837
dc.identifierCommunications in Statistics -- Theory and Methods, vol. 37, pp. 1173--1180, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160616
dc.subjectStatistics Theory
dc.subjectProbability
dc.subjectMethodology
dc.titleExplicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability
dc.typetext

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