Integral representations for transition probabilities of Markov chains with a general state space

Zbyněk Šidák

Czechoslovak Mathematical Journal (1962)

  • Volume: 12, Issue: 4, page 492-522
  • ISSN: 0011-4642

How to cite

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Šidák, Zbyněk. "Integral representations for transition probabilities of Markov chains with a general state space." Czechoslovak Mathematical Journal 12.4 (1962): 492-522. <http://eudml.org/doc/12143>.

@article{Šidák1962,
author = {Šidák, Zbyněk},
journal = {Czechoslovak Mathematical Journal},
keywords = {probability theory},
language = {eng},
number = {4},
pages = {492-522},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integral representations for transition probabilities of Markov chains with a general state space},
url = {http://eudml.org/doc/12143},
volume = {12},
year = {1962},
}

TY - JOUR
AU - Šidák, Zbyněk
TI - Integral representations for transition probabilities of Markov chains with a general state space
JO - Czechoslovak Mathematical Journal
PY - 1962
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 4
SP - 492
EP - 522
LA - eng
KW - probability theory
UR - http://eudml.org/doc/12143
ER -

References

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  1. J. L. Doob, 10.1215/S0012-7094-38-00466-1, Duke Math. J. 4 (1938), 752 - 774. (1938) Zbl0020.10902MR1546095DOI10.1215/S0012-7094-38-00466-1
  2. J. L. Doob, Stochastic processes, New York 1953. (1953) Zbl0053.26802MR0058896
  3. N. Dunford J. T. Schwartz, Linear operators I, Interscience Publishers, New York 1958. (1958) MR0117523
  4. W. Feller, 10.1214/aoms/1177706110, Annals of Math. Stat. 30 (1959), 1252-1253. (1959) MR0110124DOI10.1214/aoms/1177706110
  5. P. Halmos, Measure theory, New York 1950. (1950) Zbl0040.16802MR0033869
  6. T. E. Harris, The existence of stationary measures for certain Markov processes, Proc. Third Berkeley Symposium, 1956, vol. II, 113 - 124. (1956) Zbl0072.35201MR0084889
  7. D. G. Kendall, 10.1090/S0002-9904-1958-10230-X, Bull. Amer. Math. Soc. 64 (1958), 358-362. (1958) Zbl0198.22801MR0126880DOI10.1090/S0002-9904-1958-10230-X
  8. D. G. Kendall, Unitary dilations of Markov transition operators, and the corresponding integral representations for transition-probability matrices, Probability & Statistics, The Harald Cramér Volume, New York 1959, 139-161. (1959) Zbl0117.35801MR0116389
  9. D. G. Kendall, Unitary dilations of one-parameter semigroups of Markov transition operators, and the corresponding integral representations for Markov processes with a countable infinity of states, Proc. London Math. Soc. (3) 9 (1959), 417 - 431. (1959) Zbl0117.35802MR0116390
  10. A. N. Kolmogorov, 10.1007/BF01565412, Math. Ann. 112 (1936), 155 - 160. (1936) MR1513044DOI10.1007/BF01565412
  11. H. P. Kramer, 10.1214/aoms/1177706367, Annals of Math. Stat. 30 (1959), 149 - 153. (1959) Zbl0146.38601MR0103542DOI10.1214/aoms/1177706367
  12. S. Leader, 10.2307/1969752, Ann. of Math. 58 (1953), 528-543. (1953) MR0058126DOI10.2307/1969752
  13. E. Nelson, 10.1215/S0012-7094-58-02561-4, Duke Math. J. 25 (1958), 671-690. (1958) Zbl0084.13402MR0101555DOI10.1215/S0012-7094-58-02561-4
  14. S. Orey, 10.2140/pjm.1959.9.805, Pacific J. Math. 9 (1959), 805 - 827. (1959) Zbl0095.32902MR0125632DOI10.2140/pjm.1959.9.805
  15. Т. А. Сарымсаков, Основы теории процессов Маркова, Москва 1954. (1954) Zbl0995.90535
  16. В. Sz.-Nagy, Sur les contractions de l'espace de Hubert, Acta Sci. Math. Szeged 15 (1953 - 54), 87-92. (1953) MR0058128
  17. K. Yosida S. Kakutani, 10.2307/1968993, Ann. of Math. 42 (1941), 188 - 228. (1941) MR0003512DOI10.2307/1968993
  18. A. Zygmund, Trigonometric series, Cambridge 1959. (1959) Zbl0085.05601

Citations in EuDML Documents

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  1. Zbyněk Šidák, Některé věty a příklady z teorie operátorů ve spočetných Markovových řetězcích
  2. Zbyněk Šidák, Операторы в пространстве непрерывных функций и представление процессов Маркова в компактном пространстве Хаусдорфа
  3. Zbyněk Šidák, Représentations des probabilités de transition dans les chaînes à liaisons complètes
  4. Jana Jurečková, To the 60th birthday of Zbyněk Šidák
  5. Jan Seidler, Jiří Vondráček, Ivan Saxl, The life and work of Zbyněk Šidák (1933–1999)

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