Two sample nonparametric decision problems for single parameter families of distributions are considered from the Bayesian viewpoint when only the relative magnitudes of the observation are known for the paired comparison data, the rank order data and the signed rank order data. The term nonparametric is used as the decision procedures depend on nonparametric statistics. It is assumed that the likelihood functions for the three kinds of data depend on the parameters of the sampled populations through some function H. A prior distribution is considered for the random variable H.
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