Here is an interesting jsfiddle.
In Firefox:
The reason it is firing twice is because of window.onblur. The window blurring triggers a blur event on all elements in that window as part of the way javascript's capturing/bubbling process. All you need to do is test the event target for being the window.
var blurCount = 0;
var isTargetWindow = false;
$(window).blur(function(e){
console.log(e.target);
isTargetWindow = true;
});
$(window).focus(function(){
isTargetWindow = false;
});
$('input').blur(function(e) {
if(!isTargetWindow){
$('div').text(++blurCount + ' blurs');
}
console.log(e.target);
});
http://jsfiddle.net/pDYsM/4/