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Stochastic Complementation, Uncoupling Markov Chains, And The Theory Of Nearly Reducible Systems (1989)  (Make Corrections)  (9 citations)
C. D. Meyer
SIAM Review, Vol. 31, :2



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Abstract: . A concept called stochastic complementation is an idea which occurs naturally, although not always explicitly, in the theory and application of finite Markov chains. This paper brings this idea to the forefront with an explicit definition and a development of some of its properties. Applications of stochastic complementation are explored with respect to problems involving uncoupling procedures in the theory of Markov chains. Furthermore, the role of stochastic complementation in the... (Update)

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Meyer, C. D.: "Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems," SIAM Review, Vol. 31, No. 2, pp. 240--272, 1989. http://citeseer.ist.psu.edu/meyer89stochastic.html   More

@article{ meyer89stochastic,
    author = "C. D. Meyer",
    title = "Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems",
    journal = "SIAM Review, Vol. 31, :2",
    pages = "240--272",
    year = "1989",
    url = "citeseer.ist.psu.edu/meyer89stochastic.html" }
Citations (may not include all citations):
708   Cambridge University Press (context) - Horn, Johnson et al. - 1985
276   Finite Markov Chains (context) - Kemeny, Snell - 1960
238   Nonnegative Matrices in the Mathematical Sciences (context) - Berman, Plemmons - 1979
176   Introduction To Matrix Computations (context) - Stewart - 1973
60   Decomposability: Queueing And Computer System Applications (context) - Courtois - 1977
57   Aggregation of variables in dynamic systems (context) - Simon, Ando - 1961
24   Regenerative analysis and steady state distributions for Mar.. (context) - Grassmann, Taksar et al. - 1985
7   Perturbation bounds for the stationary probabilities of a fi.. (context) - Haviv, Van Der Heyden - 1984
7   Reduced systems in Markov chains and their applications in q.. (context) - Lal, Bhat - 1987
6   disaggregation methods for computing the stationary distribu.. (context) - Haviv - 1987
4   Block iterative algorithms for stochastic matrices (context) - Courtois, Semal - 1986
3   Aggregation with an error o (context) - Vantilborgh - 1985
2   Bounded aggregation in Markovian networks (context) - Balsamo, Pandolfi - 1988
2   Matrix Theory---Vol (context) - Gantmacher - 1960
2   Numerical solutions of nearly completely decomposable queuei.. (context) - Zarling - 1976

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