Fastest JavaScript summation

You should be able to use reduce.

var sum = array.reduce(function(pv, cv) { return pv + cv; }, 0);

Source

And with arrow functions introduced in ES6, it's even simpler:

sum = array.reduce((pv, cv) => pv + cv, 0);

Improvements

Your looping structure could be made faster:

---

   var count = 0;
   for(var i=0, n=array.length; i < n; i++) 
   { 
      count += array[i]; 
   }

This retrieves array.length once, rather than with each iteration. The optimization is made by caching the value.

If you really want to speed it up:

---

   var count=0;
   for (var i=array.length; i--;) {
     count+=array[i];
   }

This is equivalent to a while reverse loop. It caches the value and is compared to 0, thus faster iteration.

For a more complete comparison list, see my JSFiddle.
Note: array.reduce is horrible there, but in Firebug Console it is fastest.

---

Compare Structures

I started a JSPerf for array summations. It was quickly constructed and not guaranteed to be complete or accurate, but that's what edit is for :)