Mathematical Sciences: Generalized Linear Models
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{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
Professor McCullagh will investigate a possible extension of               generalized linear models to multivariate discrete responses.                   Early results suggest that the new class of models is an                        attractive alternative to log-linear models.  In addition,                      Professor McCullagh proposes to extend earlier work on dispersion               effects in linear modles to analogous effects in generalized                    linear models.  Investigation of the uses of tensor methods in                  problems of theoretical statistics and statistical methodology                  will be continued.  One such problem is to consider the Fourier                 decomposition of directional cumulants and derived invariants as                tools in the problem of estimating cumulants based on residuals                 in generalized linear models.                                                        This research in statistics is part of a current thrust to                 provide theory for generalized linear models.  Traditional linear               models assume the response variables are normally distributed.                  This work is to extend the conceptual probabilistic constructs to               apply to multivariate discrete response variables, and aims at                  developing appropriate statistics based on these models.
{'FirstName': 'Peter', 'LastName': 'McCullagh', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Peter McCullagh', 'EmailAddress': 'pmcc@galton.uchicago.edu', 'NSF_ID': '000316757', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606375418', 'PhoneNumber': '7737028669', 'StreetAddress': '5801 S ELLIS AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'IL01', 'ORG_UEI_NUM': 'ZUE9HKT2CLC9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CHICAGO', 'ORG_PRNT_UEI_NUM': 'ZUE9HKT2CLC9'}
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{'Code': '1269', 'Text': 'STATISTICS'}
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