How do I efficiently select the previous non-null value?

I found this answer for SQL Server that also works in Postgres. Having never done it before, I thought the technique was quite clever. Basically, he creates a custom partition for the windowing function by using a case statement inside of a nested query that increments a sum when the value is not null and leaves it alone otherwise. This allows one to delineate every null section with the same number as the previous non-null value. Here’s the query:

SELECT
  id, value, value_partition, first_value(value) over (partition by value_partition order by id)
FROM (
  SELECT
    id,
    value,
    sum(case when value is null then 0 else 1 end) over (order by id) as value_partition

  FROM p
  ORDER BY id ASC
) as q

And the results:

 id | value | value_partition | first_value
----+-------+-----------------+-------------
  1 |   100 |               1 |         100
  2 |       |               1 |         100
  3 |       |               1 |         100
  4 |       |               1 |         100
  5 |       |               1 |         100
  6 |       |               1 |         100
  7 |       |               1 |         100
  8 |   200 |               2 |         200
  9 |       |               2 |         200
(9 rows)