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Matrix analytic method
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<p>In <a href="/facts/Probability_theory/mFBn51rE">probability theory</a>, the matrix analytic method is a technique to compute the stationary <a href="/facts/Probability_distribution/EpsKKVRu">probability distribution</a> of a <a href="/facts/Markov_chain/5oP5hntk">Markov chain</a> which has a repeating structure (after some point) and a state space which grows unboundedly in no more than one dimension. Such models are often described as <a href="/facts/M%2fG%2f1_type_Markov_chain/bRA0YIHY">M/G/1 type Markov chains</a> because they can describe transitions in an M/G/1 queue. The method is a more complicated version of the <a href="/facts/Matrix_geometric_method/EtksGhWt">matrix geometric method</a> and is the classical solution method for M/G/1 chains. </p>