Oracle: use EXPLAIN PLAN to find objects whose statistics weren't taken for a certain amount of time

explain plan
   set statement_id = 'abc'
for
   select
      …
   from
     …;

select
   count(*)           cnt,
   pln.object_owner,
   pln.object_name,
   pln.object_type,
   pln.optimizer,
   coalesce(tas.last_analyzed, ins.last_analyzed) last_analyzed,
   coalesce(tas.stale_stats  , ins.stale_stats  ) stale_stats  ,
   coalesce(tas.user_stats   , ins.user_stats   ) user_stats   ,
   coalesce(tas.num_rows     , ins.num_rows     ) num_rows     ,
   coalesce(tas.sample_size  , ins.sample_size  ) sample_size  ,
   tas.blocks,
   tas.empty_blocks,
   tas.chain_cnt,
   ins.blevel,
   ins.leaf_blocks,
   ins.distinct_keys,
   ins.avg_leaf_blocks_per_key,
   ins.table_name                    table_of_index
from
   plan_table         pln                                                 left join
   all_tab_statistics tas on  pln.object_type    ='TABLE'           and
                              tas.table_name     = pln.object_name  and
                              tas.owner          = pln.object_owner and
                              tas.partition_name is null                  left join
   all_ind_statistics ins on  pln.object_type    ='INDEX'           and
                              ins.index_name     = pln.object_name  and
                              ins.owner          = pln.object_owner and
                              ins.partition_name is null
where 
   pln.object_type is not null     and
   pln.object_type not in ('VIEW') and
   statement_id = 'abc'
group by   
   pln.object_owner,
   pln.object_name,
   pln.object_type,
   pln.optimizer,
   coalesce(tas.last_analyzed, ins.last_analyzed),
   coalesce(tas.stale_stats  , ins.stale_stats  ),
   coalesce(tas.user_stats   , ins.user_stats   ),
   coalesce(tas.num_rows     , ins.num_rows     ),
   coalesce(tas.sample_size  , ins.sample_size  ),
   tas.blocks,
   tas.empty_blocks,
   tas.chain_cnt,
   ins.blevel,
   ins.leaf_blocks,
   ins.distinct_keys,
   ins.avg_leaf_blocks_per_key,
   ins.table_name
order by
   coalesce(tas.last_analyzed, ins.last_analyzed)
;