Title
On the binomial confidence interval and probabilistic robust control
Abstract
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.
Year
DOI
Venue
2004
10.1016/j.automatica.2004.04.016
Automatica
Keywords
Field
DocType
Robust control,Confidence interval,Monte Carlo method
Econometrics,Interval estimation,Binomial proportion confidence interval,Conservatism,Robustness (computer science),Exact statistics,Probabilistic logic,Statistics,Robust control,Confidence interval,Mathematics
Journal
Volume
Issue
ISSN
40
10
0005-1098
Citations 
PageRank 
References 
0
0.34
7
Authors
3
Name
Order
Citations
PageRank
Xinjia Chen14712.21
Kemin Zhou237259.31
Jorge L. Aravena3123.35