Actually I did just find it in the To-do wiki:

Have autoanalyze of parent tables occur when child tables are modified


   - http://archives.postgresql.org/pgsql-performance/2010-06/msg00137.php


On Mon., Sep. 30, 2019, 1:48 p.m. Greg Stark, <st...@mit.edu> wrote:

> So we now support `ANALYZE partitioned_table` which will gather statistics
> for the main table by gathering stats from all the partitions.
>
> However as far as I can tell autovacuum will never actually trigger this
> analyze. Because we never generate any update records for the parent table
> in the statistics. Have I missed something?
>
> I didn't find any discussion of this in the threads from when partitioning
> was committed but there were a lot of discussions and I could easily have
> missed it.
>
> Is there a story for this? Some way to configure things so that autovacuum
> will analyze partitioned tables?
>
> Or should we look at doing something? Maybe whether we analyze a child we
> should also update the parent -- and if there's no stats yet run analyze on
> it?
>
> This may be a serious enough problem for users that it may warrant
> backpatching. Not having any stats is resulting in some pretty weird plans
> for us.
>

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