What algorithm is Mathematica 9 using for FirstPassageTimeDistribution[]? Is it attempting to use PseudoInverse[] on the Laplacian of the graph underlying the discrete Markov process?
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$\begingroup$ I suggest you write to [email protected] and ask. They will probably give you all the details you need (e.g. the paper reference). $\endgroup$– SzabolcsCommented May 2, 2013 at 21:15
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1 Answer
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According to Wolfram Support:
First passage time distribution is defined by its characteristic function which is computed from the underlying Markov chain. The implementation has been based on a variety of references, but mostly based on the book by W.J. Steward, "Probability, Markov Chains, Queues and Simulation" which was found to be very comprehensive.
