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The joint cumulative distribution function for order statistics arising fromseveral different populations is given in terms of the distribution function ofthe populations. The computational cost of the formula in the case of twopopulations is still exponential in the worst case, but it is a dramaticimprovement compared to the general formula by Bapat and Beg. In the case whenonly the joint distribution function of a subset of the order statistics offixed size is needed, the complexity is polynomial, for the case of twopopulations.

Fast computation by block permanents of cumulative distribution functions of order statistics from several populations