Confidence interval for an inverse rate
= Confidence interval for an inverse rate
{title2=$[\lambda_L,\lambda_U]\mapsto[1/\lambda_U,1/\lambda_L]$}
For an <exponential distribution> with positive rate $\lambda$, the mean is $1/\lambda$. A <confidence interval> for the rate transforms to one for the mean by reversing and inverting its endpoints. The monotonic transformation preserves the coverage event; it does not give a <prediction interval> for one realized <holding time>.