11. Credit rating agencies produce annual tables of the transition probabilities for bonds of different credit ratings. 12. The energy-and bias-dependent electron tunneling transition probability , T, is given by 13. Given the fixed policy, the edge weights are determined by corresponding states'transition probability . 14. Note that the set of transition probabilities for transitions from any given state must sum to 1. 15. Where the matrix Q gives the transition probabilities for the mutation of type j to type i. 16. This is the restriction of the transition probability to the support of " T ". 17. In a more formal definition, if bANnxk1b0 define the probability estimator of the transition probability p by 18. Finally, arbitrary features over pairs of adjacent hidden states can be used rather than simple transition probabilities . 19. We then calculate the to, to and to transition probabilities and normalize so they add to 1. 20. Thus the transition matrix of the stochastic process is tri-diagonal in shape and the transition probabilities are