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math.PR2008
The M/M/1 queue is Bernoulli
Michael Keane, Neil O'Connell
The classical output theorem for the M/M/1 queue, due to Burke (1956), states that the departure process from a stationary M/M/1 queue, in equilibrium, has the same law as the arri…
math.PR2007★ 1 cited
On the path structure of a semimartingale arising from monotone probability theory
Alexander C. R. Belton
Let be the unique normal martingale such that and \[\mathrm{d}[X]_t=(1-t-X_{t-}) \mathrm{d}X_t+\mathrm{d}t\] and let for all ; the semimartingale…