n.clopper.pearson: Required Sample Size

Description

Provides the required sample size with respect to the one-sided upper Clopper-Pearson limit.

Usage

n.clopper.pearson(k, p, alpha = 0.1, uniroot.lower = k + 1, uniroot.upper = 1e+100, 
uniroot.maxiter = 1e+05, uniroot.tol = 1e-10)

Value

The value for the required sample size.

Arguments

k: number of failures.
p: target probability.
alpha: significance level for the \((1-\alpha)\cdot 100\)% confidence level (default \(\alpha=0.1\)).
uniroot.lower: The value of the lower parameter sent to uniroot. Lower bound of the interval to be searched. See uniroot for more details.
uniroot.upper: The value of the upper parameter sent to uniroot. Upper bound of the interval to be searched. See uniroot for more details.
uniroot.maxiter: The value of the maxiter parameter sent to uniroot. Maximum number of iterations. See uniroot for more details.
uniroot.tol: The value of the tol parameter sent to uniroot. Convergence tolerance. See uniroot for more details.

Details

Provides the required sample size with respect to the upper Clopper-Pearson limit for a given target failure probability at a certain confidence level.

References

D.Kurz, H.Lewitschnig, J.Pilz, Decision-Theoretical Model for Failures which are Tackled by Countermeasures, IEEE Transactions on Reliability, Vol. 63, No. 2, June 2014.

Examples

Run this code

## target failure probability p=0.0002, 8 failures
n.clopper.pearson(8,0.0002)
# 64972

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