I was wondering how statistics and decision theory are related?
It looks to me all the statistics problems/tasks can be formulated in decision theory. Also problems in decision theory can be formulated in statistics/probability problems, or in deterministic way. So is statistics just a part of the problems studied in decision theory?
Or are they just two theories with overlapping and neither falls completely inside the other?
But I have to admit that I don't have a systematic big picture of what topics statistics theory and decision theory are covered respectively, and would like to here some of your point of view.
Thanks and regards!