The tail σ -fields of recurrent Markov processes

Richard Isaac

Aplikace matematiky (1977)

  • Volume: 22, Issue: 6, page 397-408
  • ISSN: 0862-7940

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Isaac, Richard. "The tail $\sigma $-fields of recurrent Markov processes." Aplikace matematiky 22.6 (1977): 397-408. <http://eudml.org/doc/15025>.

@article{Isaac1977,
author = {Isaac, Richard},
journal = {Aplikace matematiky},
language = {eng},
number = {6},
pages = {397-408},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The tail $\sigma $-fields of recurrent Markov processes},
url = {http://eudml.org/doc/15025},
volume = {22},
year = {1977},
}

TY - JOUR
AU - Isaac, Richard
TI - The tail $\sigma $-fields of recurrent Markov processes
JO - Aplikace matematiky
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 6
SP - 397
EP - 408
LA - eng
UR - http://eudml.org/doc/15025
ER -

References

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  1. Blackwell D., Freedman D., 10.1214/aoms/1177703284, Ann. Math. Stat. 35, (1964), 1291-1295. (1964) Zbl0127.35204MR0164375DOI10.1214/aoms/1177703284
  2. Doeblin W., Elements d'une theorie generale des chaines simples constants de Markoff, Ann. Sci. Ecole Norm. Sup., III, Ser. 57, (1940), 61-111. (1940) MR0004409
  3. Halmos P. R., Measure Theory, Van Nostrand, (1950). (1950) Zbl0040.16802MR0033869
  4. Harris T. E., The existence of stationary measures for certain Markov processes, Third Berkeley Symposium on Math. Stat. and Prob., vol. 2(1956), 113-124. (1956) Zbl0072.35201MR0084889
  5. Harris T. W., Robbins H., 10.1073/pnas.39.8.860, Proc. Nat. Acad. Sci., 39, (1953), 860-864. (1953) MR0056873DOI10.1073/pnas.39.8.860
  6. Isaac R., 10.1214/aoms/1177692641, Ann. Math. Stat. 43, (1972), 621-626. (1972) Zbl0278.60048MR0300338DOI10.1214/aoms/1177692641
  7. Isaac R., 10.1007/BF02756724, Israel Journal of Math., vol. 16, no. 4 (1973), 362-374. (1973) MR0340547DOI10.1007/BF02756724
  8. Isaac R., 10.1214/aoms/1177700399, Ann. Math. Stat. 35, (1964), 1781 - 1786. (1964) Zbl0127.09702MR0168019DOI10.1214/aoms/1177700399
  9. Isaac R., 10.1090/S0002-9939-1966-0205330-4, Proc. Amer. Math. Soc., 17, (1966), 1308-1313. (1966) Zbl0143.40502MR0205330DOI10.1090/S0002-9939-1966-0205330-4
  10. Jain N. C, 10.1214/aoms/1177699470, Ann. Math. Stat., 37 (1966), 729-732. (1966) Zbl0192.25002MR0196806DOI10.1214/aoms/1177699470
  11. Jamison B., Orey S., Markov chains recurrent in the sense of Harris, Z. F. Wahrschein, 8, (1967), 41-48. (1967) Zbl0153.19802MR0215370
  12. Orey S., 10.2140/pjm.1959.9.805, Pacific Journal, 9 (1959), 805-827. (1959) Zbl0095.32902MR0125632DOI10.2140/pjm.1959.9.805
  13. Orey S., Limit Theorems for Markov Chain Transition Probabilities, Van Nostrand (1971). (1971) Zbl0295.60054MR0324774
  14. Foguel S. R., The ergodic theory of Markov Processes, Van Nostrand Reinhold (1969). (1969) Zbl0282.60037MR0261686
  15. Rosenblatt M., Markov Processes. Structure and asymptotic behavior, Springer-Verlag (1971). (1971) Zbl0236.60002MR0329037

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