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Suppose that a statistic T is a complete statistic based on some statistical model. If we…

 Suppose that a statistic T is a complete statistic based on some statistical model. If we construct a larger model that contains all the distributions in the original model and is such that any set that has probability content equal to 0 for every distribution in the original model also has probability content equal to 0 for every distribution in the larger model, then prove that T is complete for the larger model as well.