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Computing Chernoff's Distribution
Abstract:A distribution that arises in problems of estimation of monotone functions is that of the location of the maximum of two-sided Brownian motion minus a parabola. Using results from the first author's earlier work, we present algorithms and programs for computation of this distribution and its quantiles. We also present some comparisons with earlier computations and simulations.
Keywords:Airy functions  Brownian motion  Density  Distribution function  Monotone  Parabolic drift  Quadratic drift  Quantiles
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