Physics – Mathematical Physics
Scientific paper
2005-12-22
J. Phys. A: Math. Gen. 39, 7245-7256 (2006)
Physics
Mathematical Physics
12 pages, updated reference to companion paper cond-mat/0601263
Scientific paper
10.1088/0305-4470/39/23/005
We study a non-Markovian random walk in dimension 1. It depends on two parameters eps_r and eps_l, the probabilities to go straight on when walking to the right, respectively to the left. The position x of the walk after n steps and the number of reversals of direction k are used to estimate eps_r and eps_l. We calculate the joint probability distribution p_n(x,k) in closed form and show that, approximately, it belongs to the exponential family.
der Straeten Erik Van
Naudts Jan
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