Mathematical Sciences: Partial Sums, Partial Maxima and     Random Sets
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
This research will study the theory of partial sums and                    partial maxima of independent random variables, probability in                  Banach spaces and the theory of random sets.  The of the three                  major questions to be viewed will to approximate the                            distributions of sums of independent random variables.  The                     emphasis will be to obtain results which are widely applicable                  eg. for random variables taking real or vector values or values                 in infinite dimensional Banach spaces.  The second problem will                 be to study the partial maxima and their relationship to partial                sums.  The third problem will be to study unions of independent                 or dependent random sets and their role in modelling growth                     phenomena.  These models will incorporate a means to alter the                  activity in a region based on the number of times that a region                 has been contaminated.  Simulations on graphical computer will be               done to complement the theoretical work.
{'FirstName': 'Marjorie', 'LastName': 'Hahn', 'PI_MID_INIT': 'G', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Marjorie G Hahn', 'EmailAddress': 'marjorie.hahn@tufts.edu', 'NSF_ID': '000424425', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Tufts University', 'CityName': 'SOMERVILLE', 'ZipCode': '021442401', 'PhoneNumber': '6176273696', 'StreetAddress': '169 HOLLAND ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MA07', 'ORG_UEI_NUM': 'WL9FLBRVPJJ7', 'ORG_LGL_BUS_NAME': 'TRUSTEES OF TUFTS COLLEGE', 'ORG_PRNT_UEI_NUM': 'S6ZWCYHRQQB3'}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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