The paper derives recursive and explicit expressions for the mean increments and mean position of an elephant random walk whose memory set at time n is the first Y(n) steps, with Y(n) uniform on {1,...,n}.
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On Elephant Random Walk with Random Memory
The paper derives recursive and explicit expressions for the mean increments and mean position of an elephant random walk whose memory set at time n is the first Y(n) steps, with Y(n) uniform on {1,...,n}.