PostgreSQL
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Le funzioni della finestra di PostgreSQL ignorano i valori nulli

Suppongo che tu non possa semplicemente:

select
from tbl_x
window w as (partition by ID order by Date)
where col_a is null;

In caso contrario, potresti dover:

select
Col_A,
Col_B,
case when Col_A is null
  then (select col_a
          from tbl_x x2
         where x2.id = x1.id
           and col_a is not null
           and x2.date < x1.date
      order by date desc
         limit 1)
  else Col_A
  end Col_A_Lag,
case when Col_B is null
  then (select col_b
          from tbl_x x2
         where x2.id = x1.id
           and col_b is not null
           and x2.date < x1.date
      order by date desc
         limit 1)
  else Col_B
  end Col_B_Lag
from tbl_x x1;

Con un'indicizzazione appropriata la performance sarebbe probabilmente abbastanza buona.

create index ... (id, date desc, col_b) where col_b is not null;