In probability theory, the reversed compound agent theorem (RCAT) is a set of sufficient conditions for a stochastic process expressed in any formalism to have a product form stationary distribution[1] (assuming that the process is stationary[2][1]).
The theorem shows that product form solutions in Jackson's theorem,[1] the BCMP theorem[3] and G-networks are based on the same fundamental mechanisms.
[4] The theorem identifies a reversed process using Kelly's lemma, from which the stationary distribution can be computed.
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