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In this work we extend previous results on moment-based characterization and minimal representation of stationary Markovian arrival processes (MAPs) and rational arrival processes (RAPs) to transient Markovian arrival processes (TMAPs) and Markovian binary trees (MBTs).We show that the number of moments that characterize a TMAP of size n with full rank marginal is n2+2n−1, and an MBT of size n with...
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