diff --git a/jquery/jquery-tests.ts b/jquery/jquery-tests.ts
index 1a9a6dd26..1f723fde3 100644
--- a/jquery/jquery-tests.ts
+++ b/jquery/jquery-tests.ts
@@ -3359,7 +3359,7 @@ function test_promise_then_change_type() {
 		var def = $.Deferred<any>();
 		var promise = def.promise(null);
 
-		def.rejectWith(this, new Error());
+		def.rejectWith(this, [new Error()]);
 
 		return promise;
 	}
diff --git a/jquery/jquery.d.ts b/jquery/jquery.d.ts
index ad9e93455..d7688f187 100644
--- a/jquery/jquery.d.ts
+++ b/jquery/jquery.d.ts
@@ -241,7 +241,7 @@ interface JQueryCallback {
      * @param context A reference to the context in which the callbacks in the list should be fired.
      * @param arguments An argument, or array of arguments, to pass to the callbacks in the list.
      */
-    fireWith(context?: any, ...args: any[]): JQueryCallback;
+    fireWith(context?: any, args?: any[]): JQueryCallback;
 
     /**
      * Determine whether a supplied callback is in a list
@@ -395,7 +395,7 @@ interface JQueryDeferred<T> extends JQueryGenericPromise<T> {
      * @param context Context passed to the progressCallbacks as the this object.
      * @param args Optional arguments that are passed to the progressCallbacks.
      */
-    notifyWith(context: any, value?: any, ...args: any[]): JQueryDeferred<T>;
+    notifyWith(context: any, value?: any[]): JQueryDeferred<T>;
 
     /**
      * Reject a Deferred object and call any failCallbacks with the given args.
@@ -409,7 +409,7 @@ interface JQueryDeferred<T> extends JQueryGenericPromise<T> {
      * @param context Context passed to the failCallbacks as the this object.
      * @param args An optional array of arguments that are passed to the failCallbacks.
      */
-    rejectWith(context: any, value?: any, ...args: any[]): JQueryDeferred<T>;
+    rejectWith(context: any, value?: any[]): JQueryDeferred<T>;
 
     /**
      * Resolve a Deferred object and call any doneCallbacks with the given args.
@@ -425,7 +425,7 @@ interface JQueryDeferred<T> extends JQueryGenericPromise<T> {
      * @param context Context passed to the doneCallbacks as the this object.
      * @param args An optional array of arguments that are passed to the doneCallbacks.
      */
-    resolveWith(context: any, value?: T, ...args: any[]): JQueryDeferred<T>;
+    resolveWith(context: any, value?: T[]): JQueryDeferred<T>;
 
     /**
      * Return a Deferred's Promise object.
diff --git a/jqueryui/jqueryui.d.ts b/jqueryui/jqueryui.d.ts
index a5f77eade..a49a779e2 100644
--- a/jqueryui/jqueryui.d.ts
+++ b/jqueryui/jqueryui.d.ts
@@ -9,7 +9,7 @@
 declare module JQueryUI {
     // Accordion //////////////////////////////////////////////////
 
-    interface AccordionOptions {
+    interface AccordionOptions extends AccordionEvents {
         active?: any; // boolean or number
         animate?: any; // boolean, number, string or object
         collapsible?: boolean;
@@ -37,7 +37,7 @@ declare module JQueryUI {
         create?: AccordionEvent;
     }
 
-    interface Accordion extends Widget, AccordionOptions, AccordionEvents {
+    interface Accordion extends Widget, AccordionOptions {
     }
 
 
@@ -342,7 +342,7 @@ declare module JQueryUI {
 
     interface DialogOptions extends DialogEvents {
         autoOpen?: boolean;
-        buttons?: { [buttonText: string]: (event?: Event) => void } | ButtonOptions[];
+        buttons?: { [buttonText: string]: (event?: Event) => void } | DialogButtonOptions[];
         closeOnEscape?: boolean;
         closeText?: string;
         dialogClass?: string;
@@ -366,6 +366,14 @@ declare module JQueryUI {
         close?: DialogEvent;
     }
 
+    interface DialogButtonOptions {
+        icons?: any;
+        showText?: string | boolean;
+        text?: string;
+        click?: (eventObject: JQueryEventObject) => any;
+        [attr: string]: any; // attributes for the <button> element
+    }
+
     interface DialogShowHideOptions {
         effect: string;
         delay?: number;
@@ -517,9 +525,10 @@ declare module JQueryUI {
 
     // Progressbar //////////////////////////////////////////////////
 
-    interface ProgressbarOptions {
+    interface ProgressbarOptions extends ProgressbarEvents {
         disabled?: boolean;
         value?: number | boolean;
+        max?: number;
     }
 
     interface ProgressbarUIParams {
@@ -535,7 +544,7 @@ declare module JQueryUI {
         create?: ProgressbarEvent;
     }
 
-    interface Progressbar extends Widget, ProgressbarOptions, ProgressbarEvents {
+    interface Progressbar extends Widget, ProgressbarOptions {
     }
 
 
@@ -793,7 +802,7 @@ declare module JQueryUI {
 
     // Tooltip //////////////////////////////////////////////////
 
-    interface TooltipOptions {
+    interface TooltipOptions extends TooltipEvents {
         content?: any; // () or string
         disabled?: boolean;
         hide?: any; // boolean, number, string or object
@@ -816,7 +825,7 @@ declare module JQueryUI {
         open?: TooltipEvent;
     }
 
-    interface Tooltip extends Widget, TooltipOptions, TooltipEvents {
+    interface Tooltip extends Widget, TooltipOptions {
     }