Javascript static method in class defined inside global object

I know Javascript doesn't have classes in the same way that traditional OOP languages do and that a "class" definition such as the following, is merely a function object that can be used with the new keyword:

function MyClass(){
   this.a = function(){ /* Do something */ }; // Public function
   function b(){ /* Do something */ }; // Private function
 }
 

What I'm wondering is, if I define a global object (to avoid polluting the namespace) and define my classes inside this object, can I define a static method for my class in a nicer way than this:

var MyObject = {
   MyClass: function(){
     this.a = function(){ /* Do something */ }; // Public function
     function b(){ /* Do something */ }; // Private function
   },
 }
 MyObject.MyClass.MyStaticMethod = function(){ /* Do something */ };
 

I was thinking something along the lines of defining MyStaticMethod inside the MyClass function scope - is this possible?

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