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added 7 characters in body; edited title

edited Sep 11, 2014 at 15:27

Grigory Yaroslavtsev

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Distribution of a random walk on a directed line

Is there a closed formula for the distribution of $x_t$ in the following random process, describing a random walk on a directed line?

$x_0 = n$
$x_t$ is a uniformly random integer between 1 and $x_{t - 1}$

reference-request pr.probability st.statistics random-walks

asked Sep 11, 2014 at 15:08

Grigory Yaroslavtsev

676
4
19