hi,yes a pir can fail!,but in your case it has not,if you have tested as you state there,s power to the bayonets,by this i take it you mean the two prongs on the end of the lamp,if this is the case then it can only be the lamp has gone,which you should be able to see,or more likely it is not located properly onto the prongs,or they have carbon on them from arcing and need cleaning up,hope this helps!!
mark
November 2012