According to Tõnu Toompark on his adaur blog, 96 per cent of residential dwelling space in Estonia is in private hands.
The total number of residential items comes to 657 800 units, only a small increase on the last 12 years, with only three per cent of dwellings owned by local governments and one per cent by the state, writes Tõnu.
Given the upheaval of the collapse of the USSR 20 years ago and the wholesale transferral of ownership from state to private sector this is perhaps unsurprising, and is no doubt a factor in the somewhat active real estate market here, compared with some neighbouring countries (e.g. the Scandinavian nations) where public sector housing will account for a much higher proportion.
The original article (in Estonian) is available here.