Doob's approach to probability was evident in his first probability paper J.L. Doob "Probability and statistics", in which he proved theorems related to the law of large numbers, using a probabilistic interpretation of Birkhoff's ergodic theorem.
Doob's approach to probability was evident in his first probability paper: "Probability and Statistics", Transactions of the AMS, 1934. In this paper Doob proved theorems related to the law of large numbers, using the fact that the law of large numbers follows from a probabilistic interpretation of Birkhoff's ergodic theorem.