Whilst LvW's answer is accurate, a general answer would be that if the bias point is sensitive to variations in the characteristics of the transistor, then the biasing is likely to be unstable.
An example would be biasing a common emitter stage using a high value resistor from Vcc to the base. To achieve a particular bias point the resistor has to be carefully chosen. A different transistor (or the same transistor at a different temperature) may result in drastic changes to the operating point. This is unstable.