behavior of update statistics on empty table

[Kathey Marsden]

This is kind of an edge case, but I wonder, what should be the behavior 
of update statistics on an empty table if it had previously created 
statistics.

The current behavior seems to be that it leaves the old statistics 
values in sys.sysstatistics.  Is that correct? It seems to me it should 
drop the statistics information in this case.

Thanks

Kathey