diff --git a/types/jquery/index.d.ts b/types/jquery/index.d.ts
index 60583af1bc..8f5ceed0ec 100644
--- a/types/jquery/index.d.ts
+++ b/types/jquery/index.d.ts
@@ -2411,7 +2411,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.4.3
      */
     cssNumber: JQuery.PlainObject<boolean>;
-    readonly fn: JQuery;
+    readonly fn: JQuery<TElement>;
     fx: {
         /**
          * The rate (in milliseconds) at which animations fire.
@@ -2436,7 +2436,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.ready/}
      * @since 1.8
      */
-    ready: JQuery.Thenable<JQueryStatic>;
+    ready: JQuery.Thenable<JQueryStatic<TElement>>;
     /**
      * A collection of properties that represent the presence of different browser features or bugs.
      * Intended for jQuery's internal use; specific properties may be removed when they are no longer
@@ -2489,7 +2489,9 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.0
      * @since 1.4
      */
-    (selector_object_callback?: JQuery.Selector | JQuery.TypeOrArray<Element> | JQuery.PlainObject | JQuery | (($: JQueryStatic) => void)): JQuery<TElement>;
+    (selector_object_callback?: JQuery.Selector | JQuery.htmlString | JQuery.TypeOrArray<Element> | JQuery |
+        JQuery.PlainObject |
+        ((this: Document, $: JQueryStatic<TElement>) => void)): JQuery<TElement>;
     /**
      * A multi-purpose callbacks list object that provides a powerful way to manage callback lists.
      *
@@ -2629,7 +2631,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.each/}
      * @since 1.0
      */
-    each<T>(array: ArrayLike<T>, callback: (indexInArray: number, value: T) => false | any): ArrayLike<T>;
+    each<T>(array: ArrayLike<T>, callback: (this: T, indexInArray: number, value: T) => false | any): ArrayLike<T>;
     /**
      * A generic iterator function, which can be used to seamlessly iterate over both objects and arrays.
      * Arrays and array-like objects with a length property (such as a function's arguments object) are
@@ -2640,7 +2642,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.each/}
      * @since 1.0
      */
-    each<T, K extends keyof T>(obj: T, callback: (propertyName: K, valueOfProperty: T[K]) => false | any): T;
+    each<T, K extends keyof T>(obj: T, callback: (this: T[K], propertyName: K, valueOfProperty: T[K]) => false | any): T;
     /**
      * Takes a string and throws an exception containing it.
      *
@@ -2648,7 +2650,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.error/}
      * @since 1.4.1
      */
-    error(message: string): never;
+    error(message: string): any;
     /**
      * Escapes any character that has a special meaning in a CSS selector.
      *
@@ -2719,7 +2721,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.extend/}
      * @since 1.1.4
      */
-    extend<T, U>(deep: true, target: T, ...objects: U[]): T & U;
+    extend(deep: true, target: any, object1: any, ...objects: any[]): any;
     /**
      * Merge the contents of two or more objects together into the first object.
      *
@@ -2782,7 +2784,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.extend/}
      * @since 1.0
      */
-    extend<T, U>(target: T, ...objects: U[]): T & U;
+    extend(target: any, object1: any, ...objects: any[]): any;
     /**
      * Load data from the server using a HTTP GET request.
      *
@@ -2835,7 +2837,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.12
      * @since 2.2
      */
-    get(url_settings?: string | JQuery.AjaxSettings): JQuery.jqXHR;
+    get(url_settings?: string | JQuery.UrlAjaxSettings): JQuery.jqXHR;
     /**
      * Load JSON-encoded data from the server using a GET HTTP request.
      *
@@ -2868,7 +2870,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.0
      */
     getScript(url: string,
-              success?: JQuery.jqXHR.DoneCallback<string | undefined>): JQuery.jqXHR;
+              success?: JQuery.jqXHR.DoneCallback<string | undefined>): JQuery.jqXHR<string | undefined>;
     /**
      * Execute some JavaScript code globally.
      *
@@ -2915,7 +2917,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.htmlPrefilter/}
      * @since 1.12/2.2
      */
-    htmlPrefilter(html: string): string;
+    htmlPrefilter(html: JQuery.htmlString): JQuery.htmlString;
     /**
      * Search for a specified value within an array and return its index (or -1 if not found).
      *
@@ -3029,7 +3031,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.noConflict/}
      * @since 1.0
      */
-    noConflict(removeAll?: boolean): JQueryStatic;
+    noConflict(removeAll?: boolean): this;
     /**
      * An empty function.
      *
@@ -3145,7 +3147,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.12
      * @since 2.2
      */
-    post(url_settings?: string | JQuery.AjaxSettings): JQuery.jqXHR;
+    post(url_settings?: string | JQuery.UrlAjaxSettings): JQuery.jqXHR;
     /**
      * Takes a function and returns a new one that will always have a particular context.
      *
@@ -3178,16 +3180,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.queue/}
      * @since 1.3
      */
-    queue(element: Element, queueName: string, newQueue: JQuery.TypeOrArray<JQuery.QueueFunction<Element>>): JQuery;
-    /**
-     * Show the queue of functions to be executed on the matched element.
-     *
-     * @param element A DOM element to inspect for an attached queue.
-     * @param queueName A string containing the name of the queue. Defaults to fx, the standard effects queue.
-     * @see {@link https://api.jquery.com/jQuery.queue/}
-     * @since 1.3
-     */
-    queue(element: Element, queueName?: string): JQuery.Queue<TElement>;
+    queue<T extends Element>(element: T, queueName?: string, newQueue?: JQuery.TypeOrArray<JQuery.QueueFunction<T>>): JQuery.Queue<T>;
     /**
      * Handles errors thrown synchronously in functions wrapped in jQuery().
      *
@@ -3204,7 +3197,7 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @see {@link https://api.jquery.com/jQuery.removeData/}
      * @since 1.2.3
      */
-    removeData(element: Element, name?: string): JQuery;
+    removeData(element: Element, name?: string): void;
     /**
      * Creates an object containing a set of properties ready to be used in the definition of custom animations.
      *
@@ -3215,38 +3208,28 @@ interface JQueryStatic<TElement extends Node = HTMLElement> {
      * @since 1.1
      */
     speed(duration: JQuery.Duration, easing: string, complete: (this: TElement) => void): JQuery.EffectsOptions<TElement>;
-    /**
-     * Creates an object containing a set of properties ready to be used in the definition of custom animations.
-     *
-     * @param easing A string indicating which easing function to use for the transition.
-     * @param complete A function to call once the animation is complete, called once per matched element.
-     * @see {@link https://api.jquery.com/jQuery.speed/}
-     * @since 1.1
-     */
-    speed(easing: string, complete: (this: TElement) => void): JQuery.EffectsOptions<TElement>;
     /**
      * Creates an object containing a set of properties ready to be used in the definition of custom animations.
      *
      * @param duration A string or number determining how long the animation will run.
-     * @param easing_complete_settings A string indicating which easing function to use for the transition.
-     *                                 A function to call once the animation is complete, called once per matched element.
+     * @param easing_complete A string indicating which easing function to use for the transition.
+     *                        A function to call once the animation is complete, called once per matched element.
      * @see {@link https://api.jquery.com/jQuery.speed/}
      * @since 1.0
      * @since 1.1
      */
     speed(duration: JQuery.Duration,
-          easing_complete_settings: string | ((this: TElement) => void) | JQuery.SpeedSettings<TElement>): JQuery.EffectsOptions<TElement>;
+          easing_complete: string | ((this: TElement) => void)): JQuery.EffectsOptions<TElement>;
     /**
      * Creates an object containing a set of properties ready to be used in the definition of custom animations.
      *
-     * @param duration_easing_complete_settings A string or number determining how long the animation will run.
-     *                                          A string indicating which easing function to use for the transition.
-     *                                          A function to call once the animation is complete, called once per matched element.
+     * @param duration_complete_settings A string or number determining how long the animation will run.
+     *                                   A function to call once the animation is complete, called once per matched element.
      * @see {@link https://api.jquery.com/jQuery.speed/}
      * @since 1.0
      * @since 1.1
      */
-    speed(duration_easing_complete_settings?: JQuery.Duration | string | ((this: TElement) => void) | JQuery.SpeedSettings<TElement>): JQuery.EffectsOptions<TElement>;
+    speed(duration_complete_settings?: JQuery.Duration | ((this: TElement) => void) | JQuery.SpeedSettings<TElement>): JQuery.EffectsOptions<TElement>;
     /**
      * Remove the whitespace from the beginning and end of a string.
      *
@@ -3325,10 +3308,24 @@ declare namespace JQuery {
 
     // region Ajax
 
+    interface AjaxSettings<TContext = any> extends AjaxSettingsBase<TContext> {
+        /**
+         * A string containing the URL to which the request is sent.
+         */
+        url?: string;
+    }
+
+    interface UrlAjaxSettings<TContext = any> extends AjaxSettingsBase<TContext> {
+        /**
+         * A string containing the URL to which the request is sent.
+         */
+        url: string;
+    }
+
     /**
      * @see {@link http://api.jquery.com/jquery.ajax/#jQuery-ajax-settings}
      */
-    interface AjaxSettings<TContext = any> {
+    interface AjaxSettingsBase<TContext> {
         /**
          * A set of key/value pairs that map a given dataType to its MIME type, which gets sent in the Accept
          * request header. This header tells the server what kind of response it will accept in return.
@@ -3350,7 +3347,7 @@ declare namespace JQuery {
          * function will cancel the request. As of jQuery 1.5, the beforeSend option will be called regardless
          * of the type of request.
          */
-        beforeSend?(this: TContext, jqXHR: jqXHR, settings: AjaxSettings<TContext>): false | void;
+        beforeSend?(this: TContext, jqXHR: jqXHR, settings: AjaxSettingsBase<TContext>): false | void;
         /**
          * If set to false, it will force requested pages not to be cached by the browser. Note: Setting cache
          * to false will only work correctly with HEAD and GET requests. It works by appending "_={timestamp}"
@@ -3559,10 +3556,6 @@ declare namespace JQuery {
          * An alias for method. You should use type if you're using versions of jQuery prior to 1.9.0.
          */
         type?: string;
-        /**
-         * A string containing the URL to which the request is sent.
-         */
-        url?: string;
         /**
          * A username to be used with XMLHttpRequest in response to an HTTP access authentication request.
          */
diff --git a/types/jquery/jquery-tests.ts b/types/jquery/jquery-tests.ts
index 2536144845..eef1b42fa0 100644
--- a/types/jquery/jquery-tests.ts
+++ b/types/jquery/jquery-tests.ts
@@ -3475,18 +3475,65 @@ function JQueryStatic() {
         const jq: JQueryStatic = $;
     }
 
-    function constructor() {
-        function selector_object_callback() {
-            const jq = $ as JQueryStatic<Node>;
-            // $ExpectType JQuery<Node>
-            jq('div');
-        }
+    function call_signature() {
+        // #ExpectType JQuery<HTMLElement>
+        $('<p></p>', new Document());
+
+        // #ExpectType JQuery<HTMLElement>
+        $('<p></p>', {
+            class: 'my-div',
+            on: {
+                touchstart() {
+                    // Do something
+                }
+            }
+        });
+
+        // #ExpectType JQuery<HTMLElement>
+        $('span', new HTMLElement());
+
+        // #ExpectType JQuery<HTMLElement>
+        $('span', new Document());
+
+        // #ExpectType JQuery<HTMLElement>
+        $('span', $('p'));
+
+        // #ExpectType JQuery<HTMLElement>
+        $('span');
+
+        // #ExpectType JQuery<HTMLElement>
+        $('<p></p>');
+
+        // #ExpectType JQuery<HTMLElement>
+        $(new HTMLElement());
+
+        // #ExpectType JQuery<HTMLElement>
+        $([new HTMLElement()]);
+
+        // #ExpectType JQuery<HTMLElement>
+        $({ foo: 'bar', hello: 'world' });
+
+        // #ExpectType JQuery<HTMLElement>
+        $($('p'));
+
+        // #ExpectType JQuery<HTMLElement>
+        $(function($) {
+            // #ExpectType Document
+            this;
+            // #ExpectType JQueryStatic<HTMLElement>
+            $;
+        });
+
+        // #ExpectType JQuery<HTMLElement>
+        $();
     }
 
     function Callbacks() {
-        const cb = $.Callbacks();
+        // #ExpectType Callbacks
+        $.Callbacks('once');
 
-        cb.add(console.log);
+        // #ExpectType Callbacks
+        $.Callbacks();
     }
 
     function Event() {
@@ -3496,26 +3543,468 @@ function JQueryStatic() {
         }
     }
 
+    function ajax() {
+        // $ExpectType jqXHR<any>
+        $.ajax('url', {
+            cache: true
+        });
+    }
+
+    function ajaxPrefilter() {
+        // $ExpectType void
+        $.ajaxPrefilter('dataTypes', (options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+
+            return 'filtered';
+        });
+
+        // $ExpectType void
+        $.ajaxPrefilter('dataTypes', (options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+
+        // $ExpectType void
+        $.ajaxPrefilter((options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+
+            return 'filtered';
+        });
+
+        // $ExpectType void
+        $.ajaxPrefilter((options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+    }
+
+    function ajaxSetup() {
+        // $ExpectType AjaxSettings<any>
+        $.ajaxSetup({
+            cache: true
+        });
+    }
+
+    function ajaxTransport() {
+        // $ExpectType void
+        $.ajaxTransport('dataTypes', (options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+
+            return {
+                send(headers, completeCallback) {
+                    // $ExpectType PlainObject<any>
+                    headers;
+                    // $ExpectType SuccessCallback
+                    completeCallback;
+                },
+                abort() { }
+            };
+        });
+
+        // $ExpectType void
+        $.ajaxTransport('dataTypes', (options, originalOptions, jqXHR) => {
+            // $ExpectType AjaxSettings<any>
+            options;
+            // $ExpectType AjaxSettings<any>
+            originalOptions;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+    }
+
+    function contains() {
+        // $ExpectType boolean
+        $.contains(new HTMLElement(), new HTMLElement());
+    }
+
+    function css() {
+        // $ExpectType any
+        $.css(new HTMLElement(), {});
+    }
+
+    function data() {
+        // $ExpectType any
+        $.data(new HTMLElement(), 'myKey', undefined);
+
+        // $ExpectType "myValue"
+        $.data(new HTMLElement(), 'myKey', 'myValue');
+
+        // $ExpectType any
+        $.data(new HTMLElement(), 'myKey');
+
+        // $ExpectType any
+        $.data(new HTMLElement());
+    }
+
+    function dequeue() {
+        // $ExpectType void
+        $.dequeue(new HTMLElement(), 'myQueue');
+
+        // $ExpectType void
+        $.dequeue(new HTMLElement());
+    }
+
     function each() {
-        function arrayLike() {
-            $.each({ length: 3 }, (index, val) => {
-                index === 3;
-            });
-        }
+        // $ExpectType ArrayLike<string>
+        $.each(['myVal1', 'myVal2'], function(index, val) {
+            // $ExpectType string
+            this;
+            // $ExpectType number
+            index;
+            // $ExpectType string
+            val;
+
+            return false;
+        });
+
+        // $ExpectType ArrayLike<string>
+        $.each(['myVal1', 'myVal2'], function(index, val) {
+            // $ExpectType string
+            this;
+            // $ExpectType number
+            index;
+            // $ExpectType string
+            val;
+
+            return 10;
+        });
+
+        // $ExpectType ArrayLike<string>
+        $.each(['myVal1', 'myVal2'], function(index, val) {
+            // $ExpectType string
+            this;
+            // $ExpectType number
+            index;
+            // $ExpectType string
+            val;
+        });
+
+        // $ExpectType { myVal1: boolean; myVal2: () => 10; myVal3: string; }
+        $.each({
+            myVal1: false,
+            myVal2: () => {
+                return 10;
+            },
+            myVal3: 'myVal3'
+        }, function(propertyName, valueOfProperty) {
+            // $ExpectType string | boolean | (() => 10)
+            this;
+            // $ExpectType "myVal1" | "myVal2" | "myVal3"
+            propertyName;
+            // $ExpectType string | boolean | (() => 10)
+            valueOfProperty;
+
+            return false;
+        });
+
+        // $ExpectType { myVal1: boolean; myVal2: () => 10; myVal3: string; }
+        $.each({
+            myVal1: false,
+            myVal2: () => {
+                return 10;
+            },
+            myVal3: 'myVal3'
+        }, function(propertyName, valueOfProperty) {
+            // $ExpectType string | boolean | (() => 10)
+            this;
+            // $ExpectType "myVal1" | "myVal2" | "myVal3"
+            propertyName;
+            // $ExpectType string | boolean | (() => 10)
+            valueOfProperty;
+
+            return 10;
+        });
+
+        // $ExpectType { myVal1: boolean; myVal2: () => 10; myVal3: string; }
+        $.each({
+            myVal1: false,
+            myVal2: () => {
+                return 10;
+            },
+            myVal3: 'myVal3'
+        }, function(propertyName, valueOfProperty) {
+            // $ExpectType string | boolean | (() => 10)
+            this;
+            // $ExpectType "myVal1" | "myVal2" | "myVal3"
+            propertyName;
+            // $ExpectType string | boolean | (() => 10)
+            valueOfProperty;
+        });
+    }
+
+    function error() {
+        jQuery.error = console.error;
+    }
+
+    function escapeSelector() {
+        // $ExpectType string
+        $.escapeSelector('span');
+    }
+
+    function extend() {
+        const t = { name: 'myObj' };
+        const u = new EventTarget();
+        const v = new Node();
+        const w = new Comment();
+        const x = new Text();
+        const y = new Element();
+        const z = new HTMLElement();
+        const a = new SVGElement();
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text & Element & HTMLElement
+        $.extend(true, t, u, v, w, x, y, z);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text & Element
+        $.extend(true, t, u, v, w, x, y);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text
+        $.extend(true, t, u, v, w, x);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment
+        $.extend(true, t, u, v, w);
+
+        // $ExpectType { name: string; } & EventTarget & Node
+        $.extend(true, t, u, v);
+
+        // $ExpectType { name: string; } & EventTarget
+        $.extend(true, t, u);
+
+        // $ExpectType any
+        $.extend(true, t, u, v, w, x, y, z, a);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text & Element & HTMLElement
+        $.extend(t, u, v, w, x, y, z);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text & Element
+        $.extend(t, u, v, w, x, y);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment & Text
+        $.extend(t, u, v, w, x);
+
+        // $ExpectType { name: string; } & EventTarget & Node & Comment
+        $.extend(t, u, v, w);
+
+        // $ExpectType { name: string; } & EventTarget & Node
+        $.extend(t, u, v);
+
+        // $ExpectType { name: string; } & EventTarget
+        $.extend(t, u);
+
+        // $ExpectType any
+        $.extend(t, u, v, w, x, y, z, a);
+    }
+
+    function get() {
+        // $ExpectType jqXHR<any>
+        $.get('url', { myData: 'myData' }, (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', 'myData', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', { myData: 'myData' }, null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', 'myData', null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.get('url', { myData: 'myData' });
+
+        // $ExpectType jqXHR<any>
+        $.get('url', 'myData');
+
+        // $ExpectType jqXHR<any>
+        $.get('url');
+
+        // $ExpectType jqXHR<any>
+        $.get({ url: 'url' });
+
+        // $ExpectType jqXHR<any>
+        $.get();
+    }
+
+    function getJSON() {
+        // $ExpectType jqXHR<any>
+        $.getJSON('url', { myVal1: 'myVal1' }, (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+
+        // $ExpectType jqXHR<any>
+        $.getJSON('url', 'myVal1', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+
+        // $ExpectType jqXHR<any>
+        $.getJSON('url', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        });
+
+        // $ExpectType jqXHR<any>
+        $.getJSON('url', { myVal1: 'myVal1' });
+
+        // $ExpectType jqXHR<any>
+        $.getJSON('url', 'myVal1');
+
+        // $ExpectType jqXHR<any>
+        $.getJSON('url');
+    }
+
+    function getScript() {
+        // $ExpectType jqXHR<string | undefined>
+        $.getScript('url', (data, textStatus, jqXHR) => {
+            // $ExpectType string | undefined
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<string | undefined>
+            jqXHR;
+        });
+    }
+
+    function globalEval() {
+        // $ExpectType void
+        $.globalEval('throw new Error();');
+    }
+
+    function grep() {
+        // $ExpectType string[]
+        $.grep(['myVal1', 'myVal2'], (elementOfArray, indexInArray) => {
+            // $ExpectType string
+            elementOfArray;
+            // $ExpectType number
+            indexInArray;
+
+            return true;
+        }, true);
+
+        // $ExpectType string[]
+        $.grep(['myVal1', 'myVal2'], (elementOfArray, indexInArray) => {
+            // $ExpectType string
+            elementOfArray;
+            // $ExpectType number
+            indexInArray;
+
+            return true;
+        });
+    }
+
+    function hasData() {
+        // $ExpectType boolean
+        $.hasData(new HTMLElement());
+    }
+
+    function holdReady() {
+        // $ExpectType void
+        $.holdReady(true);
+    }
+
+    function htmlPrefilter() {
+        // $ExpectType string
+        $.htmlPrefilter('<span></span>');
+    }
+
+    function inArray() {
+        // $ExpectType number
+        $.inArray(1, [1, 2], 1);
+
+        // $ExpectType number
+        $.inArray(1, [1, 2]);
     }
 
     function isArray() {
         function type_guard(obj: object) {
             if ($.isArray(obj)) {
-                console.log(obj[0]);
+                // $ExpectType any[]
+                obj;
             }
         }
     }
 
+    function isEmptyObject() {
+        // $ExpectType boolean
+        $.isEmptyObject({});
+    }
+
     function isFunction() {
         function type_guard(obj: object) {
             if ($.isFunction(obj)) {
-                obj();
+                // $ExpectType Function
+                obj;
             }
         }
     }
@@ -3523,7 +4012,8 @@ function JQueryStatic() {
     function isNumeric() {
         function type_guard(obj: boolean) {
             if ($.isNumeric(obj)) {
-                obj.toFixed();
+                // $ExpectType (true & number) | (false & number)
+                obj;
             }
         }
     }
@@ -3531,7 +4021,8 @@ function JQueryStatic() {
     function isPlainObject() {
         function type_guard(obj: object) {
             if ($.isPlainObject(obj)) {
-                obj['key'] = true;
+                // $ExpectType PlainObject<any>
+                obj;
             }
         }
     }
@@ -3539,37 +4030,239 @@ function JQueryStatic() {
     function isWindow() {
         function type_guard(obj: object) {
             if ($.isWindow(obj)) {
-                obj.location.href === 'href';
+                // $ExpectType Window
+                obj;
             }
         }
     }
 
+    function isXMLDoc() {
+        // $ExpectType boolean
+        $.isXMLDoc(new Node());
+    }
+
+    function makeArray() {
+        // $ExpectType number[]
+        $.makeArray([1, 2]);
+    }
+
     function map() {
-        function object() {
-            const testObj = {
-                myProp: true,
-                name: 'Rogers',
-            };
+        // $ExpectType number[]
+        $.map([1, 2, 3], (elementOfArray, indexInArray) => {
+            // $ExpectType number
+            elementOfArray;
+            // $ExpectType number
+            indexInArray;
 
-            const results = $.map(testObj, (propertyOfObject, key) => {
-                switch (key) {
-                    case 'myProp':
-                        return 1;
-                    case 'name':
-                        return false;
-                }
-            });
+            return 200 + 10;
+        });
 
-            for (const result of results) {
-                result === 1;
+        // $ExpectType (false | 1)[]
+        $.map({
+            myProp: true,
+            name: 'Rogers',
+        }, (propertyOfObject, key) => {
+            // $ExpectType string | boolean
+            propertyOfObject;
+            // $ExpectType "myProp" | "name"
+            key;
+
+            switch (key) {
+                case 'myProp':
+                    return 1;
+                case 'name':
+                    return false;
             }
-        }
+        });
+    }
+
+    function merge() {
+        // $ExpectType (string | number)[]
+        $.merge([1, 2, 3], ['myVal1', 'myVal2']);
+    }
+
+    function noConflict() {
+        // $ExpectType JQueryStatic<HTMLElement>
+        $.noConflict(true);
+
+        // $ExpectType JQueryStatic<HTMLElement>
+        $.noConflict();
+    }
+
+    function noop() {
+        // $ExpectType undefined
+        $.noop();
+    }
+
+    function now() {
+        // $ExpectType number
+        $.now();
+    }
+
+    function param() {
+        // $ExpectType string
+        $.param([true, 20], true);
+
+        // $ExpectType string
+        $.param({
+            myVal1: true,
+            myVal2: 20
+        }, true);
+
+        // $ExpectType string
+        $.param($('input'), true);
+
+        // $ExpectType string
+        $.param([true, 20]);
+
+        // $ExpectType string
+        $.param({
+            myVal1: true,
+            myVal2: 20
+        });
+
+        // $ExpectType string
+        $.param($('input'));
+    }
+
+    function parseHTML() {
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', document, true);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', null, true);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', undefined, true);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', document);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', null);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', undefined);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>', false);
+
+        // $ExpectType Node[]
+        $.parseHTML('<span></span>');
+    }
+
+    function parseJSON() {
+        // $ExpectType any
+        $.parseJSON('{}');
+    }
+
+    function parseXML() {
+        // $ExpectType XMLDocument
+        $.parseXML('<xml></xml>');
+    }
+
+    function post() {
+        // $ExpectType jqXHR<any>
+        $.post('url', { myData: 'myData' }, (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', 'myData', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', { myData: 'myData' }, null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', 'myData', null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', null, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', (data, textStatus, jqXHR) => {
+            // $ExpectType any
+            data;
+            // $ExpectType SuccessTextStatus
+            textStatus;
+            // $ExpectType jqXHR<any>
+            jqXHR;
+        }, 'script');
+
+        // $ExpectType jqXHR<any>
+        $.post('url', { myData: 'myData' });
+
+        // $ExpectType jqXHR<any>
+        $.post('url', 'myData');
+
+        // $ExpectType jqXHR<any>
+        $.post('url');
+
+        // $ExpectType jqXHR<any>
+        $.post({ url: 'url' });
+
+        // $ExpectType jqXHR<any>
+        $.post();
+    }
+
+    function proxy() {
+        // $ExpectType Function
+        $.proxy($.noop, {}, 1, 2);
+
+        // $ExpectType Function
+        $.proxy($.noop, {});
+
+        // $ExpectType Function
+        $.proxy({ myFunc: $.noop }, 'myFunc', 1, 2);
+
+        // $ExpectType Function
+        $.proxy({ myFunc: $.noop }, 'myFunc');
     }
 
     function queue() {
-        const el = new HTMLElement();
-        const queue = jQuery.queue(el);
-        queue[0] === 'inprogress';
+        // $ExpectType Queue<HTMLElement>
+        $.queue(new HTMLElement(), 'myQueue', function(next) {
+            // $ExpectType HTMLElement
+            this;
+            // $ExpectType () => void
+            next;
+        });
+
+        // $ExpectType Queue<HTMLElement>
+        $.queue(new HTMLElement(), 'myQueue', [function(next) {
+            // $ExpectType HTMLElement
+            this;
+            // $ExpectType () => void
+            next;
+        }]);
+
+        // $ExpectType Queue<HTMLElement>
+        $.queue(new HTMLElement(), 'myQueue');
+
+        // $ExpectType Queue<HTMLElement>
+        $.queue(new HTMLElement());
     }
 
     function readyException() {
@@ -3577,6 +4270,94 @@ function JQueryStatic() {
             console.error(error);
         };
     }
+
+    function removeData() {
+        // $ExpectType void
+        $.removeData(new HTMLElement(), 'test1');
+
+        // $ExpectType void
+        $.removeData(new HTMLElement());
+    }
+
+    function speed() {
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed(5000, 'linear', function() {
+            // $ExpectType HTMLElement
+            this;
+        });
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed(5000, 'linear');
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed(5000, function() {
+            // $ExpectType HTMLElement
+            this;
+        });
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed(5000);
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed(function() {
+            // $ExpectType HTMLElement
+            this;
+        });
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed({
+            duration: 5000,
+            easing: 'linear',
+            complete() {
+                // $ExpectType HTMLElement
+                this;
+            }
+        });
+
+        // $ExpectType EffectsOptions<HTMLElement>
+        $.speed();
+    }
+
+    function trim() {
+        // $ExpectType string
+        $.trim('myStr');
+    }
+
+    function type() {
+        // $ExpectType "string" | "number" | "boolean" | "symbol" | "undefined" | "object" | "function" | "error" | "array" | "date" | "null" | "regexp"
+        $.type({});
+    }
+
+    function unique() {
+        // $ExpectType HTMLElement[]
+        $.unique([new HTMLElement()]);
+    }
+
+    function uniqueSort() {
+        // $ExpectType HTMLElement[]
+        $.uniqueSort([new HTMLElement()]);
+    }
+
+    function when() {
+        const t = $.ajax() as JQuery.jqXHR<string>;
+        const u = $.ajax() as JQuery.jqXHR<number>;
+        const v = $.ajax() as JQuery.jqXHR<boolean>;
+
+        // $ExpectType Promise<[string | number | boolean, string, jqXHR<string | number | boolean>], any, any>
+        $.when(t, u, v);
+
+        // $ExpectType Promise<[string | number, string, jqXHR<string | number>], any, any>
+        $.when(t, u);
+
+        // $ExpectType Promise<string | jqXHR<string>, any, any>
+        $.when(t);
+
+        // $ExpectType Promise<any, any, any>
+        $.when($.Deferred());
+
+        // $ExpectType Promise<any, any, any>
+        $.when();
+    }
 }
 
 function EffectsOptions() {
diff --git a/types/jquery/test/example-tests.ts b/types/jquery/test/example-tests.ts
index bbb5d15d6c..f0e2e197f6 100644
--- a/types/jquery/test/example-tests.ts
+++ b/types/jquery/test/example-tests.ts
@@ -2434,7 +2434,7 @@ function examples() {
     }
 
     function jQuery_error_0() {
-        jQuery.error = console.error as any;
+        jQuery.error = console.error;
     }
 
     function jQuery_escape_selector_0() {