One day after a third horse died on the set of the HBO drama "Luck," HBO announced that it has ceased all future production.

The racetrack series premiered just last month, and it's expected that it will finish out the first season. (They were in the midst of filming season 2.)

In a statement, the network said, "Safety is always of paramount concern. We maintained the highest safety standards throughout production, higher in fact than any protocols existing in horseracing anywhere, with many fewer incidents than occur in racing or than befall horses normally in barns at night or pastures."

The network goes on to say, "While we maintained the highest safety standards possible, accidents unfortunately happen and it is impossible to guarantee they won’t in the future. Accordingly, we have reached this difficult decision."

The show starred Dustin Hoffman and Nick Nolte, and was headed up by TV producer-turned-film-director Michael Mann and David Milch ("Deadwood," "NYPD Blue").

The two executive producers, who hadn't worked together prior to this show, said, "The two of us loved this series, loved the cast, crew and writers. This has been a tremendous collaboration and one that we plan to continue in the future."

HBO is owned by the same parent company as CNN.