First passage and recurrence distributions
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- Trans. Amer. Math. Soc. 73 (1952), 471-486 Request permission
References
- Richard Bellman and Theodore Harris, Recurrence times for the Ehrenfest model, Pacific J. Math. 1 (1951), 179–193. MR 45323
- Kai Lai Chung, Contributions to the theory of Markov chains, J. Research Nat. Bur. Standards 50 (1953), 203–208. MR 0055608 W. Doeblin, Sur deux problèmes de M. Kolmogoroff concernant les chaînes dénombrables, Bull. Soc. Math. France vol. 52 (1942) pp. 37-64.
- William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons, Inc., New York, N.Y., 1950. MR 0038583
- I. J. Good, Random motion on a finite Abelian group, Proc. Cambridge Philos. Soc. 47 (1951), 756–762. MR 44061, DOI 10.1017/s0305004100027201 D. Hawkins and S. Ulam, Theory of multiplicative processes, I, (1944), Los Alamos Declassified Document 265.
- David G. Kendall, Some problems in the theory of queues, J. Roy. Statist. Soc. Ser. B 13 (1951), 151–173; discussion: 173–185. MR 47944 Paul Lévy, Systèmes markoviens et stationnaires, cas dénombrables, Ann. École Norm. (to appear).
- Richard Otter, The multiplicative process, Ann. Math. Statistics 20 (1949), 206–224. MR 30716, DOI 10.1214/aoms/1177730031
- Abraham Wald, Sequential Analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1947. MR 0020764
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 73 (1952), 471-486
- MSC: Primary 60.0X
- DOI: https://doi.org/10.1090/S0002-9947-1952-0052057-2
- MathSciNet review: 0052057