A General Completeness Theorem in Sampling Theory
抽样理论中的一般完备性定理
Summary Generalized symmetry of designs and estimators is defined to be invariance under a subgroup of the group of label permutations. A simple sufficient condition in terms of the design is given for the generalized order statistic, of which each generalized symmetric estimator is a function, to be complete. This condition is shown also to be necessary when the range of possible values for each characteristic is sufficiently large.