What about the reliability of the two methods. Once the pattern DFA has been computed, the FMCI algorithms are very simple to implement and have a high numerical stability. On the other hand, SR algorithms are quite more complicated (especially for degenerated patterns) to implement and require to approximate the iterate power of the Markov transition by the stationary distribution for large iterates. Classical convergence issues could result then to some numerical instability when high Markov orders are considered. As a consequence, FMCI results are taken as references from this point.