diff --git a/R/E_loo.R b/R/E_loo.R
index 2fef401a..b449c182 100644
--- a/R/E_loo.R
+++ b/R/E_loo.R
@@ -1,13 +1,14 @@
 #' Compute weighted expectations
 #'
 #' The `E_loo()` function computes weighted expectations (means, variances,
-#' quantiles) using the importance weights obtained from the
-#' [PSIS][psis()] smoothing procedure. The expectations estimated by the
-#' `E_loo()` function assume that the PSIS approximation is working well.
+#' quantiles) using the importance weights obtained from the [PSIS][psis()]
+#' smoothing procedure. The expectations estimated by the `E_loo()` function
+#' assume that the PSIS approximation is working well.
 #' **A small [Pareto k][pareto-k-diagnostic] estimate is necessary,
-#' but not sufficient, for `E_loo()` to give reliable estimates.** Additional
-#' diagnostic checks for gauging the reliability of the estimates are in
-#' development and will be added in a future release.
+#' but not sufficient, for `E_loo()` to give reliable estimates**. If the
+#' `log_ratios` argument is provided, `E_loo()` also computes a function
+#' specific Pareto k diagnostic, which must also be small for a reliable
+#' estimate. See more details below.
 #'
 #' @export
 #' @param x A numeric vector or matrix.
diff --git a/man/E_loo.Rd b/man/E_loo.Rd
index a36585ec..eeb1b231 100644
--- a/man/E_loo.Rd
+++ b/man/E_loo.Rd
@@ -81,13 +81,14 @@ returned Pareto-k is the Pareto-k for the right tail of \eqn{r}.
 }
 \description{
 The \code{E_loo()} function computes weighted expectations (means, variances,
-quantiles) using the importance weights obtained from the
-\link[=psis]{PSIS} smoothing procedure. The expectations estimated by the
-\code{E_loo()} function assume that the PSIS approximation is working well.
+quantiles) using the importance weights obtained from the \link[=psis]{PSIS}
+smoothing procedure. The expectations estimated by the \code{E_loo()} function
+assume that the PSIS approximation is working well.
 \strong{A small \link[=pareto-k-diagnostic]{Pareto k} estimate is necessary,
-but not sufficient, for \code{E_loo()} to give reliable estimates.} Additional
-diagnostic checks for gauging the reliability of the estimates are in
-development and will be added in a future release.
+but not sufficient, for \code{E_loo()} to give reliable estimates}. If the
+\code{log_ratios} argument is provided, \code{E_loo()} also computes a function
+specific Pareto k diagnostic, which must also be small for a reliable
+estimate. See more details below.
 }
 \examples{
 \donttest{