Mathematical Sciences: Topics in Statistical Theory
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Professor Berk will focus on testing for interaction in a                  two-way table with unbalanced data, a problem that has no                       satisfactory distribution-free solution to date.  Professor Singh               will continue work on resampling methods by introducing the idea                of ranking directional data in the order of centrality.  This                   ranking provides a natural concept of the median on a sphere.  He               will also work on asymptotic lower bounds of efficiency for                     estimators and adaptive estimation.  Professor Liu pursues                      questions related to the notion of simplicial depth.                                 Several topics in statistical theory will be investigated.                 The potential impact includes a broadening of the applicability                 of statistical methods for categorical data and for sparse data                 structures.
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{'Code': '1269', 'Text': 'STATISTICS'}
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