Weak value amplification is a technique combining both strong and weak quantum measurements which is gathering increased interest both theoretically and experimentally. The surprising effect arises when a weak measurement, where a quantum coherent measuring device is only weakly coupled to the system of interest, is followed by a strong measurement. Rarely, the measuring device can respond in an unusually energetic manner. I will discuss some approaches in statistical estimation theory, which may help to decide whether this effect can be exploited to increase the performance of quantum sensors.