diff --git a/metrics/metrics.go b/metrics/metrics.go
index 010a32d02..092b56c41 100644
--- a/metrics/metrics.go
+++ b/metrics/metrics.go
@@ -29,6 +29,21 @@ type Set struct {
 	expvar.Map
 }
 
+// NewSet creates and publishes a new Set with the given name.
+func NewSet(name string) *Set {
+	s := &Set{}
+	expvar.Publish(name, s)
+	return s
+}
+
+// NewLabelMap creates a new LabelMap metric with the given
+// metric name and label name, and adds it to the Set.
+func (s *Set) NewLabelMap(metric, label string) *LabelMap {
+	m := &LabelMap{Label: label}
+	s.Set(metric, m)
+	return m
+}
+
 // LabelMap is a string-to-Var map variable that satisfies the
 // expvar.Var interface.
 //
diff --git a/net/stunserver/stunserver.go b/net/stunserver/stunserver.go
index b45bb6331..7397675ca 100644
--- a/net/stunserver/stunserver.go
+++ b/net/stunserver/stunserver.go
@@ -8,7 +8,6 @@ package stunserver
 import (
 	"context"
 	"errors"
-	"expvar"
 	"io"
 	"log"
 	"net"
@@ -20,9 +19,9 @@ import (
 )
 
 var (
-	stats           = new(metrics.Set)
-	stunDisposition = &metrics.LabelMap{Label: "disposition"}
-	stunAddrFamily  = &metrics.LabelMap{Label: "family"}
+	stats           = metrics.NewSet("stun")
+	stunDisposition = stats.NewLabelMap("counter_requests", "disposition")
+	stunAddrFamily  = stats.NewLabelMap("counter_addrfamily", "family")
 	stunReadError   = stunDisposition.Get("read_error")
 	stunNotSTUN     = stunDisposition.Get("not_stun")
 	stunWriteError  = stunDisposition.Get("write_error")
@@ -32,12 +31,6 @@ var (
 	stunIPv6 = stunAddrFamily.Get("ipv6")
 )
 
-func init() {
-	stats.Set("counter_requests", stunDisposition)
-	stats.Set("counter_addrfamily", stunAddrFamily)
-	expvar.Publish("stun", stats)
-}
-
 type STUNServer struct {
 	ctx context.Context // ctx signals service shutdown
 	pc  *net.UDPConn    // pc is the UDP listener