In the context of this forum, the "absence of evidence..." theme comes up (mostly, as I see it) in two areas:
1) The existence of God.
Here we suffer from trouble defining the nature of the search object. The search area has a simular problem. You could define it as some finite area, but the true area needing to be searched seems to be the entire universe (and beyond?). Conclusion: Absence of evidence is not evidence of absence.
2) The existence of transitional fossils.
I think we can pretty well define the nature of the search object (although the creationist side might disagree). We can also pretty well define the search area, although it would be pretty vast, with most of it buried in the earth.
The catch for fossils, is that many critical juncture transitional fossils may never have been preserved in the first place, or may have been destroyed though the recycling processes of geological activity.
Of course we can never know for sure, but a given transitional fossil may truly not exist, despite the fact that the life form did exist. Thus we may indeed have an absolute absence of evidence - but while this might be an evidence for the absence of the fossil, it isn't an evidence for the absence of the life form having existed.
Boy, my best babble in a long time,
Moose