This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences of the National Sciences Foundation. This program supports the purchase of special purpose computing equipment dedicated to the conduct of research in the mathematical sciences. This equipment is required for several research projects and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers and with substantial cost-sharing from the institutions submitting the proposal. This program is an example of academic, corporate, and government cooperation in the support of the basic research in the mathematical sciences. This equipment will be used to support five research projects in the Department of Statistics of Rice University: spatial time series modeling, Katherine Ensor the investigator; SIMEST-simulation based estimation, the investigator is James Thompson; a stochastic approach to chaos, the investigators are James Thompson and Katherine Ensor; estimation and representation of multivariate functions, the investigator is David Scott; experimentation with high dimensional data, the investigator is David Scott.