diff --git a/src/ol/collection.js b/src/ol/collection.js
index 6e7365723d..2d11d303be 100644
--- a/src/ol/collection.js
+++ b/src/ol/collection.js
@@ -112,11 +112,11 @@ ol.Collection.prototype.extend = function(arr) {
 
 /**
  * Iterate over each element, calling the provided callback.
- * @param {Function} f The function to call for every element. This function
- *     takes 3 arguments (the element, the index and the array). The return
- *     value is ignored.
- * @param {Object=} opt_obj The object to be used as the value of 'this'
- *     within f.
+ * @param {function(this: S, T, number, Array.<T>): ?} f The function to call
+ *     for every element. This function takes 3 arguments (the element, the
+ *     index and the array). The return value is ignored.
+ * @param {S=} opt_obj The object to be used as the value of 'this' within f.
+ * @template T,S
  * @todo stability experimental
  */
 ol.Collection.prototype.forEach = function(f, opt_obj) {
diff --git a/src/ol/object.js b/src/ol/object.js
index 5f8bdb0968..70864f815a 100644
--- a/src/ol/object.js
+++ b/src/ol/object.js
@@ -251,7 +251,7 @@ ol.Object.prototype.notifyInternal_ = function(key) {
 /**
  * Listen for a certain type of event.
  * @param {string|Array.<string>} type The event type or array of event types.
- * @param {Function} listener The listener function.
+ * @param {function(?): ?} listener The listener function.
  * @param {Object=} opt_scope Object is whose scope to call
  *     the listener.
  * @return {goog.events.Key} Unique key for the listener.
@@ -265,7 +265,7 @@ ol.Object.prototype.on = function(type, listener, opt_scope) {
 /**
  * Listen once for a certain type of event.
  * @param {string|Array.<string>} type The event type or array of event types.
- * @param {Function} listener The listener function.
+ * @param {function(?): ?} listener The listener function.
  * @param {Object=} opt_scope Object is whose scope to call
  *     the listener.
  * @return {goog.events.Key} Unique key for the listener.
@@ -343,7 +343,7 @@ ol.Object.prototype.unbind = function(key) {
 /**
  * Unlisten for a certain type of event.
  * @param {string|Array.<string>} type The event type or array of event types.
- * @param {Function} listener The listener function.
+ * @param {function(?): ?} listener The listener function.
  * @param {Object=} opt_scope Object is whose scope to call
  *     the listener.
  * @todo stability experimental
@@ -354,9 +354,9 @@ ol.Object.prototype.un = function(type, listener, opt_scope) {
 
 
 /**
- * Removes an event listener which was added with listen() by the key returned
- *     by on().
- * @param {?number} key Key.
+ * Removes an event listener which was added with `listen()` by the key returned
+ * by `on()` or `once()`.
+ * @param {goog.events.Key} key Key.
  * @todo stability experimental
  */
 ol.Object.prototype.unByKey = function(key) {
diff --git a/src/ol/structs/lrucache.js b/src/ol/structs/lrucache.js
index b8f0c0cafb..81c6d01022 100644
--- a/src/ol/structs/lrucache.js
+++ b/src/ol/structs/lrucache.js
@@ -96,8 +96,12 @@ ol.structs.LRUCache.prototype.containsKey = function(key) {
 
 
 /**
- * @param {Function} f Function.
- * @param {Object=} opt_obj Object.
+ * @param {function(this: S, *, string, ol.structs.LRUCache): ?} f The function
+ *     to call for every entry from the oldest to the newer. This function takes
+ *     3 arguments (the entry value, the entry key and the LRUCache object).
+ *     The return value is ignored.
+ * @param {S=} opt_obj The object to be used as the value of 'this' within f.
+ * @template S
  */
 ol.structs.LRUCache.prototype.forEach = function(f, opt_obj) {
   var entry = this.oldest_;
diff --git a/src/ol/tilequeue.js b/src/ol/tilequeue.js
index 15b8f69ca3..5dad4a292f 100644
--- a/src/ol/tilequeue.js
+++ b/src/ol/tilequeue.js
@@ -20,7 +20,7 @@ ol.TilePriorityFunction;
  * @extends {ol.structs.PriorityQueue}
  * @param {ol.TilePriorityFunction} tilePriorityFunction
  *     Tile priority function.
- * @param {Function} tileChangeCallback
+ * @param {function(): ?} tileChangeCallback
  *     Function called on each tile change event.
  */
 ol.TileQueue = function(tilePriorityFunction, tileChangeCallback) {
@@ -44,7 +44,7 @@ ol.TileQueue = function(tilePriorityFunction, tileChangeCallback) {
 
   /**
    * @private
-   * @type {Function}
+   * @type {function(): ?}
    */
   this.tileChangeCallback_ = tileChangeCallback;