Add to ORKGConsider the reliability problem of finding a 1-[alpha] upper (lower) confidence limit for [theta] the probability of system failure (non-failure), based on binomial data on the probability of failure of each component of the system. The Buehler 1-[alpha] confidence limit is usually based on an estimator of [theta]. This confidence limit has the desired coverage properties. We prove that in large samples the Buehler 1-[alpha] upper confidence limit based on an approximate 1-[alpha] upper limit for [theta] is less conservative, whilst also possessing the desired coverage properties.Reliability Confidence limit Discrete data
We consider the problem of determining a (1 – A) 100% lower confidence bound on the system reliabili...
One-sided confidence intervals are presented for the average of non-identical Bernoulli parameters. ...
This paper takes Brenner & Quan (The Statistician, 39, pp. 391-397) to task for their claim that a B...
Simple expressions are derived for lower and upper support limits for the system failure probability...
The general theory of optimal confidence limits for system reliability based on results of Buehler (...
For discrete parametric models, approximate confidence limits perform poorly from a strict frequenti...
The Buehler upper confidence limit is as small as possible, subject to the constraints that (a) its...
[[abstract]]A Monte Carlo technique of Rice & Moore is modified to give a more accurate procedure fo...
This paper examines exact one-sided confidence limits for the risk ratio in a 2 × 2 table with struc...
Optimum confidence bounds proposed by Buehler (1957), primarily for functions of the parameters of d...
This report provides a general method of determining upper confidence limits for the failure probabi...
In medicine and industry, small sample size often arises owing to the high test cost. Then exact con...
We consider the power to reject false values of the parameter in Frequentist methods for the calcula...
For a series system with exponentially distributed survival times for independent sub-systems, there...
We provide Buehler-optimal one-sided and valid two-sided confidence intervals for the average succe...
We consider the problem of determining a (1 – A) 100% lower confidence bound on the system reliabili...
One-sided confidence intervals are presented for the average of non-identical Bernoulli parameters. ...
This paper takes Brenner & Quan (The Statistician, 39, pp. 391-397) to task for their claim that a B...
Simple expressions are derived for lower and upper support limits for the system failure probability...
The general theory of optimal confidence limits for system reliability based on results of Buehler (...
For discrete parametric models, approximate confidence limits perform poorly from a strict frequenti...
The Buehler upper confidence limit is as small as possible, subject to the constraints that (a) its...
[[abstract]]A Monte Carlo technique of Rice & Moore is modified to give a more accurate procedure fo...
This paper examines exact one-sided confidence limits for the risk ratio in a 2 × 2 table with struc...
Optimum confidence bounds proposed by Buehler (1957), primarily for functions of the parameters of d...
This report provides a general method of determining upper confidence limits for the failure probabi...
In medicine and industry, small sample size often arises owing to the high test cost. Then exact con...
We consider the power to reject false values of the parameter in Frequentist methods for the calcula...
For a series system with exponentially distributed survival times for independent sub-systems, there...
We provide Buehler-optimal one-sided and valid two-sided confidence intervals for the average succe...
We consider the problem of determining a (1 – A) 100% lower confidence bound on the system reliabili...
One-sided confidence intervals are presented for the average of non-identical Bernoulli parameters. ...
This paper takes Brenner & Quan (The Statistician, 39, pp. 391-397) to task for their claim that a B...