Confidence interval for a reciprocal rate (source code)

= Confidence interval for a reciprocal rate
{title2=$[L,U]\mapsto[1/U,1/L]$}

If a positive rate $q$ has a <confidence interval> $[L,U]$, monotonicity transforms it into $[1/U,1/L]$ for the reciprocal mean $1/q$. This preserves the coverage event exactly and reverses the endpoints. It applies directly to mean exponential <holding times>.