Clarification of some mathematical misunderstandings about Savage's foundations of statistics, 1954
This note discusses some mathematical misunderstandings about Savage (1954). It is shown that in his model the probability measure cannot be countably additive, that the set of events must be a σ-algebra and not just an algebra, that Savage did not characterize all atomless finitely additive probability measures, and that the state space in his model, while infinite, does not have to be uncountable.
|Keywords||finite additivity, probability measure, σ-algebra|
|Persistent URL||dx.doi.org/10.1016/0165-4896(93)90053-L, hdl.handle.net/1765/23198|
Wakker, P.P.. (1993). Clarification of some mathematical misunderstandings about Savage's foundations of statistics, 1954. Mathematical Social Sciences, 25(2), 199–202. doi:10.1016/0165-4896(93)90053-L