Confidence bound (source code)

= Confidence bound
{title2=$\Pr_\theta\{L\leq\theta\}\geq1-\alpha$}

A lower confidence bound $L$ gives a one-sided <confidence interval> with the displayed coverage requirement for every admissible parameter. An upper bound $U$ instead satisfies $\Pr_\theta\{\theta\leq U\}\geq1-\alpha$. Coverage is a repeated-sampling property; it does not assign a posterior probability to the fixed parameter.