diff --git a/index.d.ts b/index.d.ts
index ce0bd56..efe6fa4 100644
--- a/index.d.ts
+++ b/index.d.ts
@@ -2,6 +2,10 @@ export type Arguments<T> = [T] extends [(...args: infer U) => any]
   ? U
   : [T] extends [void] ? [] : [T]
 
+type EventMap = {
+  [key: string]: (...args: any[]) => void
+}
+
 /**
  * Type-safe event emitter.
  *
@@ -20,7 +24,7 @@ export type Arguments<T> = [T] extends [(...args: infer U) => any]
  *
  * myEmitter.emit("error", "x")  // <- Will catch this type error
  */
-interface TypedEventEmitter<Events> {
+interface TypedEventEmitter<Events extends EventMap> {
   addListener<E extends keyof Events> (event: E, listener: Events[E]): this
   on<E extends keyof Events> (event: E, listener: Events[E]): this
   once<E extends keyof Events> (event: E, listener: Events[E]): this
@@ -34,8 +38,8 @@ interface TypedEventEmitter<Events> {
   emit<E extends keyof Events> (event: E, ...args: Arguments<Events[E]>): boolean
   // The sloppy `eventNames()` return type is to mitigate type incompatibilities - see #5
   eventNames (): (keyof Events | string | symbol)[]
-  rawListeners<E extends keyof Events> (event: E): Function[]
-  listeners<E extends keyof Events> (event: E): Function[]
+  rawListeners<E extends keyof Events> (event: E): Events[E][]
+  listeners<E extends keyof Events> (event: E): Events[E][]
   listenerCount<E extends keyof Events> (event: E): number
 
   getMaxListeners (): number