diff --git a/types/stompjs/index.d.ts b/types/stompjs/index.d.ts
index 7d819f4352..91d5277fba 100644
--- a/types/stompjs/index.d.ts
+++ b/types/stompjs/index.d.ts
@@ -26,6 +26,7 @@ export class Client {
     debug(...args: string[]): any;
 
     connect(headers: { login: string, passcode: string, host?: string }, connectCallback: (frame?: Frame) => any, errorCallback?: (error: string) => any): any;
+    connect(headers: { }, connectCallback: (frame?: Frame) => any, errorCallback?: (error: string) => any): any;
     connect(login: string, passcode: string, connectCallback: (frame?: Frame) => any, errorCallback?: (error: string) => any, host?: string): any;
     disconnect(disconnectCallback: () => any, headers?: {}): any;
 
@@ -59,9 +60,9 @@ export class Frame implements Message {
     ack(headers?: {}): any;
     nack(headers?: {}): any;
     toString(): string;
-    sizeOfUTF8(s: string): number;
-    unmarshall(datas: any): any;
-    marshall(command: string, headers?: {}, body?: string): any;
+    static sizeOfUTF8(s: string): number;
+    static unmarshall(datas: any): any;
+    static marshall(command: string, headers?: {}, body?: string): any;
 }
 
 export function client(url: string, protocols?: string | Array<string>): Client;
diff --git a/types/stompjs/stompjs-tests.ts b/types/stompjs/stompjs-tests.ts
index 5d6eb1d0a5..fcc0c46ff5 100644
--- a/types/stompjs/stompjs-tests.ts
+++ b/types/stompjs/stompjs-tests.ts
@@ -49,6 +49,11 @@ client.connect('user', 'pass', (frame) => {
     }
  }, (error) => { }, 'host');
 
+client.connect({}, () => { });
+client.connect({}, () => { }, () => { });
+client.connect({}, () => { }, (error) => { });
+client.connect({}, (frame) => { }, (error) => { });
+
 client.disconnect(() => { });
 client.disconnect(() => { }, {});
 
@@ -93,13 +98,13 @@ frame = new Stomp.Frame('command', {}, 'body');
 
 frame.toString();
 
-frame.sizeOfUTF8('abc');
+Stomp.Frame.sizeOfUTF8('abc');
 
-frame.unmarshall(0);
-frame.unmarshall('data');
-frame.unmarshall({});
-frame.unmarshall([{}, {}]);
+Stomp.Frame.unmarshall(0);
+Stomp.Frame.unmarshall('data');
+Stomp.Frame.unmarshall({});
+Stomp.Frame.unmarshall([{}, {}]);
 
-frame.marshall('command');
-frame.marshall('command', {});
-frame.marshall('command', {}, 'body');
+Stomp.Frame.marshall('command');
+Stomp.Frame.marshall('command', {});
+Stomp.Frame.marshall('command', {}, 'body');