Mathematical Sciences: Investigations in Statistical        Decision Theory, Bayesian Analysis, Probability and         Computation
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'John V. Ryff', 'PO_EMAI': None, 'PO_PHON': None}
This team will work in four areas:  decision theory,                    Bayesian analysis, probability, and computation.  The decision-                 theoretic problems to be considered include multivariate                        estimation, the development of estimated loss methodology,                      ranking and selection for both classical and hierarchical                       Bayesian models, sequential decision problems and adaptive                      estimation and testing.  Problems in Bayesian analysis that will                be addressed include the development of robust Bayesian methods                 for testing of precise hypotheses, hierarchical Baysian analysis,               density and function estimation, and the development of                         noninformative priors.  Within probability theory and sequential                analysis, problems to be considered include study of branching                  diffusions, investigation of one-dimensional Gibbs states,                      sequential methods in survival analysis, and certain problems in                distribution theory.  Finally, the computational problems to be                 considered include Bayesian calculation via quadrature, Monte                   Carlo, and approximations, generation of random variables, and                  related problems of density simulation.                                                 This research team will work on a broad spectrum of problems            in statistics and probability, the solutions to which will                      provide more efficient and more comprehensive methods for                       producing information, extracting information from data and                     making informed decisions.  Overcoming computational problems is                a requirement for progress on some of these fronts.
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{'Code': '1269', 'Text': 'STATISTICS'}
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