"Paul B. Anderson" <[EMAIL PROTECTED]> writes:
> I did delete exactly one of each of these using ctid and the query then 
> shows no duplicates.  But, the problem comes right back in the next 
> database-wide vacuum.

That's pretty odd --- I'm inclined to suspect index corruption.

> I also tried reindexing the table.

Get rid of the duplicates (actually, I'd just blow away all the
pg_statistic entries for each of these tables) and *then* reindex.
Then re-analyze and see what happens.

Worst case you could just delete everything in pg_statistic, reindex it,
do a database-wide ANALYZE to repopulate it.  By definition there's not
any original data in that table...

                        regards, tom lane

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