Mathematical Sciences: Central Linit Theorems for Random    Fields
{'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 opportunities for women" project will                       consider uniform central limit theorems for families of semi-                   martingales.  These arise as the extensions of the results in                   empirical processes for independent identically distributed                     random variables.  The principal investigator has already found                 sharpest results so far in the traditional empirical processes                  area using the "bracketing" technique.  The relaxation of the                   condition of independence makes the theory open to wider                        applications.  The particular dependence structure assumed here                 is that of semi-martingales.  One of the anticipated applications               is to provide approximations to certain self-similar Gaussian                   random fields which arise in modeling physical variation.
{'FirstName': 'Mina', 'LastName': 'Ossiander', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Mina E Ossiander', 'EmailAddress': 'ossiand@math.oregonstate.edu', 'NSF_ID': '000431044', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Oregon State University', 'CityName': 'CORVALLIS', 'ZipCode': '973318655', 'PhoneNumber': '5417374933', 'StreetAddress': '1500 SW JEFFERSON AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Oregon', 'StateCode': 'OR', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'OR04', 'ORG_UEI_NUM': 'MZ4DYXE1SL98', 'ORG_LGL_BUS_NAME': 'OREGON STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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