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Convergence of nonhomogeneous stochastic chains with countable states: An application to measures on semigroups

Part of the Lecture Notes in Mathematics book series (LNM,volume 928)

Keywords

  • Markov Chain
  • Limit Point
  • Stochastic Matrix
  • Nonnegative Matrice
  • Stochastic Matrice

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References

  1. Isaacson, D. and Madsen, R. (1976). Markov Chains: Theory and Applications, Wiley, New York.

    MATH  Google Scholar 

  2. Blackwell, D. (1945). Finite nonhomogeneous Markov chains. Ann. Math. 46, 594–599.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Cohn, H. (1970). On the tail sigma-algebra of finite inhomogeneous Markov chains. Ann. Math. Statist. 41, 2175–2176.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. -(1974). A ratio limit theorem for finite nonhomogeneous Markov chains. Israel J. Math. 19, 329–334.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. -(1976). Finite nonhomogeneous Markov chains: Asymptotic Behavior. Adv. in App. Probab. 8, 502–516.

    CrossRef  MATH  Google Scholar 

  6. -(1977). Countable nonhomogeneous Markov chains: Asymptotic Behavior, Adv. in App. Probab. 9, 542–552.

    CrossRef  MATH  Google Scholar 

  7. Maksimov, V.M. (1970). Convergence of nonhomogeneous bistochastic Markov chains. Theor. Probability Appl. 15, 604–618.

    CrossRef  MATH  Google Scholar 

  8. Mukherjea, A. (1979). Limit theorems: Stochastic matrices, ergodic Markov chains, and measures on semigroups, Prob. Analysis and Related Topics, Vol. 2, Academic Press, 143–203.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. -(1980). A new result on the convergence of nonhomogeneous stochastic chains. Trans. Amer. Math. Soc. 262, No. 2, 505–520.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Mukherjea, A. and R. Chaudhuri. (1981). Convergence of nonhomogeneous stochastic chains II. Math. Proc. Cambridge Phil. Soc.

    Google Scholar 

  11. Mukherjea, A. and A. Nakassis. (1981). Convergence of nonhomogeneous stochastic chains III. Submitted.

    Google Scholar 

  12. Senchenko, D.V. (1972). The final sigma-algebra of an inhomogeneous Markov chain with a finite number of states. Math. Notes 12, 610–3.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Seneta, E. (1973). Nonnegative matrices. Wiley, New York.

    MATH  Google Scholar 

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© 1982 Springer-Verlag

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Mukherjea, A., Nakassis, A. (1982). Convergence of nonhomogeneous stochastic chains with countable states: An application to measures on semigroups. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093231

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  • DOI: https://doi.org/10.1007/BFb0093231

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11501-4

  • Online ISBN: 978-3-540-39206-4

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