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Asymptotic enlarging of semi-markov processes with an arbitrary state space

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Proceedings of the Third Japan — USSR Symposium on Probability Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 550))

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References

  1. Korolyuk, V.S., Poliŝyuk L.I., Tomusyak A.A., On a limit theorem for semi-Markov processes, Kibernetika, 4, 1969 (in Russian).

    Google Scholar 

  2. Turbin A.F., Poliŝyuk L.I., On one case when a semi-Markov process with small parameter converges to a non-standard Markov chain, Teoriya Slucainyh Protzessov, I, 1973 (in Russian).

    Google Scholar 

  3. Gusak D.V., Korolyuk V.S., Asymptotic behavior of semi-Markov processes with splitted state space, Teoriya Veroyatnostei i Matemat. Statist., Kiev State University, 5, 1971 (in Russian).

    Google Scholar 

  4. Korolyuk V.S., On asymptotic behavior of the sojourn time of a semi-Markov process in a subset of the state space, Ukrain. Matem. Zurnal, 21, 6, 1969 (in Russian).

    Google Scholar 

  5. Anisimov V.V., Enlargement of stochastic processes, Kibernetika, 3, 1974 (in Russian).

    Google Scholar 

  6. Kovalenko I.N., Investigations on reliability of complex systems, Kiev, 1975 (in Russian).

    Google Scholar 

  7. Korolyuk V.S., Turbin A.F., Asymptotic enlargement of complex systems. In the book: Knowledge-mathematization and science-technology progress, Kiev, 1975.

    Google Scholar 

  8. Tsertsvadze T.N., Asymptotic enlargement of Markov chain states and automatons with random entrance effects, Doctor dissertation, Tbilisi, 1971 (in Russian).

    Google Scholar 

  9. Rotenberg A., Asymptotic enlargement of Markov chain states, Problemy Peredaĉi Inform. I, 1974.

    Google Scholar 

  10. Turbin A.F., Aplications of perturbation theory for linear operatiors in solving some problems related to Markov and semi-Markov processes, Teoriya Veroyatnostei i Matemat. Statist., Kiev State University, 6, 1972 (in Russian).

    Google Scholar 

  11. Plotkin Ya.D., Turbin A.F., Inversion of spectrum-perturbed linear operators, Ukrain. Matemat. Zurnal, 23, 2, 1971 (in Russian).

    MathSciNet  Google Scholar 

  12. Plotkin Ya.D., Turbin A.F., Inversion of spectrum-perturbed normally solvable linear operators, Ukrain. Matemat. Zurnal, 27, 4, 1975 (in Russian).

    MathSciNet  MATH  Google Scholar 

  13. Kemeny J.G., Snell J.L., Finite Markov chains, Princeton, 1960.

    Google Scholar 

  14. Gihman I.I., Skorohod A.V., Introduction to stochastic processes theory, Moscow, 1967 (in Russian).

    Google Scholar 

  15. Cinlar E., On semi-Markov processes on arbirary spaces, Proc. Cambridge Philos. Soc., 66, 1969.

    Google Scholar 

  16. Ĉerenkov A.P., Existence theorems for semi-Markov processes on arbitrary spaces, Matemat. Zametki, 3, 1974 (in Russian).

    Google Scholar 

  17. Korolyuk V.S., The time for a semi-Markov process to stay in a fixed set of states, Ukrain. Matemat. Zurnal, 17, 3, 1965 (in Russian).

    Google Scholar 

  18. Korolyuk V.S., Turbin A.F., On one method to proove limit theorems for some functionals of semi-Markov processes, Ukrain. Matemat. Zurnal, 24, 2, 1972 (in Russian).

    Google Scholar 

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Gisiro Maruyama Jurii V. Prokhorov

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© 1976 Springer-Verlag

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Korolyuk, V.S., Turbin, A.F. (1976). Asymptotic enlarging of semi-markov processes with an arbitrary state space. In: Maruyama, G., Prokhorov, J.V. (eds) Proceedings of the Third Japan — USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077498

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  • DOI: https://doi.org/10.1007/BFb0077498

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07995-8

  • Online ISBN: 978-3-540-37966-9

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