When performing PVT or process/production verification test plans, parameters are chosen to accelerate the weakest environment for voltage, temperature, noise ingress, vibration, thermal shock and it was common for me to choose a slew of tests to measure the margin to failure such as PLL lock range under such conditions or PSU no-load step overshoot or GBW or worst case slew rate. I would use this to determine BER test sensitivity on results for communications and HDD defects.
Since solderability for SMT was the highest risk in board production , the best way to prove-in a new process was to measure thermal profiles in the IR oven with 5g random vibration to a fixture holding the board during self test or some critical functional test. This could drop the yields quickly from 98% to 25% until the process was tuned for more robust solderability. Component failures were rare and a dozen solderability issues could be identified.
Whereas in ASIC's, stressors are clock & data, timing margins, race conditions or metastable so these are tested with matrix test vectors at worst cast and best case conditions for speed. Analog components parameters are tested for drift with statistical limits. Some of the best designs have loopback self tests with fault detection and isolation.
Not all defects are random so finding margins to failure is an important step which may be linear or not.