A model for calculating the boundary-crossing probability, which E. Feingold computed numerically in simulations, actually turns out to have the exact solution. In contrast to Feingold’s large-scale computation, the solution can be obtained exactly by a handy personal computer. The result shows that the Aldous approximation is in good accordance with the exact solution, while simulations have larger errors.
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Feingold E.(1993)Markov process for modeling and analyzing a new genetic mapping method J. Appl. Prob. 30 766-779