Mathematical Sciences: Robustness in Multivariate and       Directional Data Analysis
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Sallie Keller-McNulty', 'PO_EMAI': None, 'PO_PHON': None}
This research will look at robust estimation of multivariate               location and dispersion.  The standard classical estimators are                 the sample mean vector and sample covariance matrix.  The affine                equivariant M-estimator is robust but has several unresolved                    problems associated with it.  Direct efforts to solve the                       problems of nonuniqueness for finite sample sizes and lack of a                 convergent algorithm to find these estimates have failed.  The                  investigator proposes two stage estimators to circumvent these                  difficulties.                                                                        The second problem is of identifying non-elliptical point                  clouds based on the robust residuals.  Emphasis will be placed on               detecting data sets which cause the breakdown of the M-                         estimators.                                                                          The investigator also suggests to study the efficiencies of                M-estimators and the higher breakdown statistics under a non-                   i.i.d. setting.
{'FirstName': 'David', 'LastName': 'Tyler', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David E Tyler', 'EmailAddress': 'david.tyler@rutgers.edu', 'NSF_ID': '000223188', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Rutgers University New Brunswick', 'CityName': 'NEW BRUNSWICK', 'ZipCode': '089018559', 'PhoneNumber': '8489320150', 'StreetAddress': '3 RUTGERS PLZ', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New Jersey', 'StateCode': 'NJ', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'NJ12', 'ORG_UEI_NUM': 'M1LVPE5GLSD9', 'ORG_LGL_BUS_NAME': 'RUTGERS, THE STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1263', 'Text': 'PROBABILITY'}, {'Code': '1269', 'Text': 'STATISTICS'}]
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