I was involved with a project at work to remanufacture 1,300 cards as replacements for what was running in one of our plants. All of these cards had tantalum bead capacitors on the + and - 24V rails.
We used brand new capacitors from a reputable manufacturer.
We had a few failures when the cards came off the production line.
We then performed a 400 hour burn-in for each card. We had more failures either when we initially powered up the cards within the burn-in rig or during the burn-in process.
Most of the faults were --- drum roll --- shorted tantalum bead capacitors on either the + or - 24V rails causing the power supply to crowbar.
When we checked the manufacturer's datasheets, we were still within the quoted failure rate for infant mortality...
Even brand new tantalum bead capacitors have a (relatively) high infant mortality failure rate...
The quoted MTBF is only valid during the 'normal operating life' of the component.
The bathtub curve applies here... You get infant mortality until you 'weed out' the poor specimens; then we enter a period of 'normal, stable operating life'; followed by 'wear out' where the failure rate increases dramatically.
All of our vintage equipment falls into the latter category!
It is also true that tantalum capacitors generally fail when the power is initially applied. This is where the capacitor undergoes the maximum amount of stress. However, they can also just fail whilst powered on...
Interestingly, whether a tantalum bead capacitor 'explodes' or not is dependent upon the failure mode. The maximum power dissipation occurs in the tantalum bead capacitor when the internal fault impedance matches that of the internal impedance of the power supply that is feeding it. I am indebted to
@Hugo Holden for pointing this out a few years ago, and I validated it for myself.
A faulty tantalum can cause a large current to flow that does not exceed the power rating of the capacitor (or at least causing it to go supernova). In this scenario, if the power supply does not crowbar (or shutdown), the increased current can damage the PCB tracks. This is how I obtained my first S100 backplane! The -18V PCB track had evaporated due to a fault...
Dave