Algorithms for robust multivariate statistics

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Mathematical statistics provides many useful analysis and interpretation techniques that can be used in any field where experimental or measured data is present. However, some of these techniques require large amounts of computation that make them difficult to use on large data sets that occur increasingly often. The proposed research project will focus on finding more efficient ways of using a computer to apply power analysis techniques from mathematical statistics. This will allow the application of these techniques to massive data sets in order to perform analyses that were previously not possible. Such data sets occur, for example, in geographic information systems, remote sensing, satellite imagery, medical imagery, business management systems, and bioinformatics.