Mathematical Sciences: Bootstrap Asymptotics, Stochastic    Differential Equations and Optimal Control, and Non-        parametric Estimation for Diffusion Processes
{'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}
The principal investigator will continue his study of the                  probabilistic properties of the resampled sample in the bootstrap               methods.  The investigation will extend to bootstraping                         stochastic processes such as Brownian motion.  The effects of                   changing the resampling size will be explored.  Resampling from a               trimmed empirical rather than the original empirical distribution               will be shown to be better.  Limit theorems for bootstraping of                 the U statistics will be found.  The probabilistic study of the                 bootstraping phenomena leads to not only interesting theorems in                probability but better bootstraping methods and the validity for                the existing methods.
[{'FirstName': 'Ananda', 'LastName': 'Weerasinghe', 'PI_MID_INIT': 'P', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ananda P Weerasinghe', 'EmailAddress': 'ananda@iastate.edu', 'NSF_ID': '000383314', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Krishna', 'LastName': 'Athreya', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Krishna B Athreya', 'EmailAddress': 'athreya@orie.cornell.edu', 'NSF_ID': '000458619', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Iowa State University', 'CityName': 'AMES', 'ZipCode': '500112103', 'PhoneNumber': '5152945225', 'StreetAddress': '1350 BEARDSHEAR HALL', 'StreetAddress2': '515 MORRILL ROAD', 'CountryName': 'United States', 'StateName': 'Iowa', 'StateCode': 'IA', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'IA04', 'ORG_UEI_NUM': 'DQDBM7FGJPC5', 'ORG_LGL_BUS_NAME': 'IOWA STATE UNIVERSITY OF SCIENCE AND TECHNOLOGY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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