This article is cited in 7 papers

A generalized Bernoulli scheme and its limit distributions

V. M. Maksimov

Institute of Chemical Physics of the USSR Academy of Sciences

Abstract: The paper considers a random walk along two lines on the plane. The limiting behaviour of the walking particle according to the position of the lines is studied. The correspondence is essentially used between such walks and compositions of identically distributed random variables on a connected group of transformations of the line.

Received: 30.09.1972

 English version: Theory of Probability and its Applications, 1974, 18:3, 521–530

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