Abstract
For the classical ruin problem (a special case of a cyclic group), we use an explicit expression for the characteristic function of the time of first hitting an arbitrary subset of a finite solvable group by a random walk, “from” a fixed subset, to obtain a new proof of the well-known formula which allows one to estimate the characteristic function of the ruin probability (hitting the identity of a group) at theth- trial.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 3, pp. 361–366, March, 1993.
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Zhdanova, Y.D. The classical ruin problem on a finite solvable group. Ukr Math J 45, 383–388 (1993). https://doi.org/10.1007/BF01061010
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DOI: https://doi.org/10.1007/BF01061010