Better Buehler confidence limits

✍ Scribed by Paul Kabaila

• Book ID: 104301574
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 142 KB
• Volume: 52
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(00)00199-1

✦ Synopsis

Consider the reliability problem of ÿnding a 1 -upper (lower) conÿdence limit for  the probability of system failure (non-failure), based on binomial data on the probability of failure of each component of the system. The Buehler 1conÿdence limit is usually based on an estimator of Â. This conÿdence limit has the desired coverage properties. We prove that in large samples the Buehler 1 -upper conÿdence limit based on an approximate 1 -upper limit for  is less conservative, whilst also possessing the desired coverage properties.