I've had problems with many of mine. Mostly the globe types. If you bat the inop ones around a little, they may start working again. Why? Read on.
These bulbs have a lot of guts. They have the base contacts which are connected to a circuit board ballast by wires. The board is connected to the bulb element by wires. The wires are soldered into eyelets on the circuit board. It is almost always at those solder connections (or solder joints) where the problems happen.
A solder joint must be made correctly or it may fail. A common problem with a solder joint is where the solder wire or the copper trace at the eyelet or both are not heated sufficiently. The solder is melted by the soldering iron and forms a ball around the wire but does not coat it or the eyelet completely. It sort of sticks the wire to the eyelet like a blob of hot glue, but it is not a proper solder joint. Through the action of operating the bulb and the board become hot. Repeated hot/cold cycles work the cold joint loose and the bulb becomes intermittent or inoperative.
I have repaired the ordinary CFLs before by opening the base and resoldering the wires, but I have about 10 of the decorative bulb types that failed within a year and in order to fix those I would have to Dremel windows into the base. I just have other things to do.
So, the problem with CFLs is lack of quality control. The right wing message masters put out all of that fear shit about mercury (regular fluorescent bulbs have mercury, too. All of these years.) when all they needed to say to discredit energy saving advice was to say CFLs are unreliable. But, then again, republicans can't tell the truth, ever.
Pic of cold solder joint: