On the Binomial Confidence Interval and Probabilistic Robust Control

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dc.creatorChen, Xinjia
dc.creatorZhou, Kemin
dc.creatorAravena, Jorge L.
dc.date2008-05-12
dc.date.accessioned2026-07-07T09:38:18Z
dc.date.available2026-07-07T09:38:18Z
dc.descriptionThe Clopper-Pearson confidence interval has ever been documented as an exact approach in some statistics literature. More recently, such approach of interval estimation has been introduced to probabilistic control theory and has been referred as non-conservative in control community. In this note, we clarify the fact that the so-called exact approach is actually conservative. In particular, we derive analytic results demonstrating the extent of conservatism in the context of probabilistic robustness analysis. This investigation encourages seeking better methods of confidence interval construction for robust control purpose.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0805.1572
dc.identifierhttp://arxiv.org/abs/0805.1572
dc.identifierpublished in Automatica, vol. 40, pp. 1787-1789, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160759
dc.subjectOptimization and Control
dc.subjectStatistics Theory
dc.titleOn the Binomial Confidence Interval and Probabilistic Robust Control
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