Some results in Doeblin’s theory of Markov chains

Winkler, William

doi:10.1090/S0002-9904-1974-13574-3

Some results in Doeblin’s theory of Markov chains
HTML articles powered by AMS MathViewer

by William Winkler PDF

Bull. Amer. Math. Soc. 80 (1974), 728-729

References

Kai Lai Chung, The general theory of Markov processes according to Doeblin, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 230–254 (1964). MR 166835, DOI 10.1007/BF00533381
W. Doblin, Éléments d’une théorie générale des chaînes simples constantes de Markoff, Ann. École Norm. (3) 57 (1940), 61–111 (French). MR 0004409
T. E. Harris, The existence of stationary measures for certain Markov processes, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954–1955, vol. II, University of California Press, Berkeley-Los Angeles, Calif., 1956, pp. 113–124. MR 0084889
T. E. Harris, Correction to a proof, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 12 (1969), 172. MR 246361, DOI 10.1007/BF00531649
N. C. Jain, Some limit theorems for a general Markov process, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 6 (1966), 206–223. MR 216580, DOI 10.1007/BF00531804
Naresh Jain and Benton Jamison, Contributions to Doeblin’s theory of Markov processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 19–40. MR 221591, DOI 10.1007/BF00533942
Benton Jamison, A result in Doeblin’s theory of Markov chains implied by Suslin’s conjecture, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 24 (1972), 287–293. MR 350860, DOI 10.1007/BF00679134
Steven Orey, Lecture notes on limit theorems for Markov chain transition probabilities, Van Nostrand Reinhold Mathematical Studies, No. 34, Van Nostrand Reinhold Co., London-New York-Toronto, Ont., 1971. MR 0324774