Discontinuous Markoff processes. (English) Zbl 0078.32101
Keywords:
Probability TheoryReferences:
| [1] | M. S. Bartlett,An Introduction to Stochastic Processes, p. 83. Cambridge, 1955. · Zbl 0068.11801 |
| [2] | W. Doeblin, Sur certains mouvements aléatoires discontinus.Skand. Aktuarietidskr., 22 (1939), 211–222. · JFM 65.0579.01 |
| [3] | J. L. Doob,Stochastic Processes, p. 255. New York, 1953. |
| [4] | W. Feller, Zur Theorie der stochastischen Processe (Existenz und Eindeutigkeitssätze).Math. Ann., 113 (1936), 113–160. · Zbl 0014.22201 · doi:10.1007/BF01571626 |
| [5] | –, On the integro-differential equations of purely discontinuous Markoff processes.Trans. Amer. Math. Soc., 48 (1940), 488–515. · Zbl 0025.34704 · doi:10.1090/S0002-9947-1940-0002697-3 |
| [6] | W. Feller,An Introduction to Probability Theory and its Applications, p. 367. New York, 1950. · Zbl 0039.13201 |
| [7] | P. R. Halmos,Measure Theory, p. 141. New York 1950. |
| [8] | D. G. Kendall &G. E. H. Reuter, Some pathological Markov processes with a denumerable infinity of states and the associated semigroups of operators onl.Proc. International Congress of Mathematicians, Vol. III, pp. 377–415. Amsterdam, 1954. |
| [9] | D. G. Kendall, Some further pathological examples in the theory of denumerable Markov processes,Quart. J. Math. Oxford, Ser. (2), Vol. 7 (1956), 39–56. · Zbl 0075.14101 · doi:10.1093/qmath/7.1.39 |
| [10] | A. N. Kolmogoroff, On some problems concerning the differentiability of the transition probabilities in a temporally homogeneous Markoff process having a denumerable set of states.Učenye Zapiski (Matem.) Moskov. Gos. Univ., 148 (1951), 53–59. |
| [11] | P. Lévy, Systèmes markoviens et stationnaires; cas dénombrable.Ann. Sci. École Norm. Sup., 68 (1951), 327–381. · Zbl 0044.33803 |
| [12] | –, Complément a l’étude des processus de Markoff.Ibid., 69 (1952), 203–212. · Zbl 0048.36203 |
| [13] | M. E. Munroe,Introduction to Measure and Integration, pp. 106, 173. Cambridge, U.S.A., 1953. · Zbl 0050.05603 |
| [14] | B. Pospišil, Sur un problème deM. M. S. Bernstein etA. Kolmogoroff,Časopis Pěst. Mat. Fys., 65 (1935–6), 64–76. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
