Check the table which is having missing stats:

SELECT owner, table_name object_name, last_analyzed, stattype_locked, stale_stats
 FROM all_tab_statistics
WHERE (last_analyzed IS NULL OR stale_stats = 'YES') and stattype_locked IS NULL and owner = 'HR' 
ORDER BY object_type desc, owner, object_name;

Check the index which is having missing stats:

SELECT owner, index_name object_name,  last_analyzed, stattype_locked, stale_stats
 FROM all_ind_statistics
WHERE (last_analyzed IS NULL OR stale_stats = 'YES') and stattype_locked IS NULL AND owner = 'HR'
ORDER BY object_type desc, owner, object_name;

Check missing stats for all objects from the database excluding Oracle default user:

SELECT 'TABLE' as object_type ,owner, table_name object_name, last_analyzed, stattype_locked, stale_stats 
FROM all_tab_statistics
WHERE (last_analyzed IS NULL OR stale_stats = 'YES') and stattype_locked IS NULL
and owner NOT IN ('ANONYMOUS', 'CTXSYS', 'DBSNMP', 'EXFSYS','LBACSYS','MDSYS','MGMT_VIEW','OLAPSYS','OWBSYS','ORDPLUGINS','ORDSYS','OUTLN','SI_INFORMTN_SCHEMA','SYS', 'SYSMAN','SYSTEM','TSMSYS','WK_TEST','WKSYS','WKPROXY','WMSYS','XDB' )
AND owner NOT LIKE 'FLOW%'
UNION ALL
SELECT 'INDEX' as object_type,owner, index_name object_name,  last_analyzed, stattype_locked, stale_stats
FROM all_ind_statistics
WHERE (last_analyzed IS NULL OR stale_stats = 'YES') and stattype_locked IS NULL
AND owner NOT IN ('ANONYMOUS', 'CTXSYS', 'DBSNMP', 'EXFSYS','LBACSYS','MDSYS','MGMT_VIEW','OLAPSYS','OWBSYS','ORDPLUGINS','ORDSYS','OUTLN','SI_INFORMTN_SCHEMA','SYS', 'SYSMAN','SYSTEM','TSMSYS','WK_TEST','WKSYS','WKPROXY','WMSYS','XDB' )
AND owner NOT LIKE 'FLOW%'
ORDER BY object_type desc, owner, object_name
/