Published: 1963 Received: June 11, 1962Available on J-STAGE: September 26, 2006Accepted: -
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Date of correction: September 26, 2006Reason for correction: -Correction: CITATIONDetails: Right : [1] J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech., 8 (1959), 433-458. [2] J. L. Doob, J. L. Snell and R. E. Williamson, Applications of boundary theory to sums of independent random variables, Contributions to Probability and Statistics, Stanford, (1960), 182-197. [3] E. B. Dynkin and M. B. Malyutov, Random walk on groups with a finite number of generators, Translation of Dokl. Acad. Sci. of the USSR, 2 (1961), 399-402 (original 137, 1042-1045). [4] G. A. Hunt, Markov chains and Martin boundaries, Illinois J. Math., 4 (1960), 313-340. [5] S. Karlin and J. L. McGregor, Random walks. Illinois J. Math., 3 (1959), 66-81. [6] S. Karlin and J. L. McGregor, Coincidence probabilities, Pacific J. Math., 9 (1959), 1109-1140. [7] S. Orey, Strong ratio limit property, Bull. Amer. Math. Soc., 67 (1961), 571-574. [8] T. Watanabe, On the theory of Martin boundaries induced by countable Markov processes, Mem. Coll. Sci. Univ. Kyoto, 33 (1960/61), 39-108. [9] T. Watanabe, A probabilistic method in Hausdorff moment problem and Laplace-Stieltjes transform, J. Math. Soc. Japan, 12 (1960), 192-206.
Date of correction: September 26, 2006Reason for correction: -Correction: PDF FILEDetails: -