On the Binomial Confidence Interval and Probabilistic Robust Control

Details On the Binomial Confidence Interval and Probabilistic Robust Control On the Binomial Confidence Interval and Probabilistic Robust Control

2008-05-12

arxiv.org/abs/0805.1572v1

published in Automatica, vol. 40, pp. 1787-1789, 2004

Mathematics

Optimization and Control

6 pages, 1 figure

Scientific paper

The 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.

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