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Return probabilities for random walk on a half-line. (English) Zbl 0837.60070
The main result is the estimation of a rate of convergence of transition probability in the model of random walk with reflecting zone. To consider this problem the author uses the method of generating functions.

MSC:
60G50 Sums of independent random variables; random walks
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60E10 Characteristic functions; other transforms
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