How to repair / fix broken led light bulb

These bulbs are basically a bunch of little LED chips placed in series on a board and driven by a rectified AC circuit. As with an series circuit, if a component breaks in the "chain", the unit will not work anymore (think Christmas lights here). As in any series circuit, the LEDs draw a current for each unit in the circuit and drop a voltage across each one as it emits light, and hopefully not heat.
In the bulb is a rectifier, a load resister and some filtering capacitors that give the LEDs a DC voltage to live on.
We will check these components out (power supply), and then look at the actual LEDs (parts that are usually broken on this kind of light bulb).