gistfile1.js

function Parent(){
  this.value = 'Parent';
}

Parent.staticMethod = function(){
  console.log( 'staticMethod called on Parent' );
}

function Child(){
  Parent.call(this);
}

// Child.prototype = Object.create(Parent.prototype);
// Child.prototype.constructor = Child; //<- Important to set the constructor here.

//2 commented lines above are equivalent to the following:
require('util').inherits(Child, Parent);

Child.staticMethod = function(){
  console.log( 'staticMethod called on child' );
};


var parent = new Parent();
var child = new Child();

parent.constructor.staticMethod();
child.constructor.staticMethod();