The relative standard error (RSE) of parameter \(\theta\) is \(RSE(\hat \theta) = \widehat{SE} (\theta) / {\hat \theta}\).
For a parameter estimated using a log link with single coefficient \(\beta\), the RSE is also \(\mbox{RSE}(\hat \theta) = \sqrt {\exp( \mbox{var}(\beta))-1}\).
This formula is used wherever applicable.