Assignment of the remaining 23 states to particular base runner configurations and outs is an implementation task. The Offensive Earned Run Average, OERA, is defined as 9 times the expected runs starting with the no outs and the bases empty state. The interpretation of this quantity is the estimated number of runs scored in a nine inning game. Two different implementations of this method have been made. Source code for both of the functions is available and links to them will be given at the end of this document.
R is the probability of scoring runs from each state.
Vectors E and R have a length of 24. Compare the code in the numerical solution for building matrix Q' and vector R with their description. Cover and Keilers include many examples. Following is one from their paper. The interpretation is that a team of 9 Ted Williams would score an average of 13.2 runs per game.