Mathematical Sciences: Quantile-Uniform Empirical           Distribution Function Methods in Probability Theory
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{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will continue to exploit the                    representation of a sequence of independent identically                         distributed random variables as the sequence of the quantile                    function observed at independent identically distributed uniform                variables.  The quantile function is the left continuous inverse                of the distribution function.  This representation provides a                   strong connection between the partial sums of random variables                  and the empirical process.  The principal investigator, along                   with a number of collaborators, has used this technique over last               several years to get many interesting results.  Specific problems               of study include the Kiefer process version of the weighted                     approximations, convergence of Bahadur-Kiefer type process,                     convergence of weighted sums of order statistics, and iterated                  logarithm laws for the sums of extreme values.
{'FirstName': 'David', 'LastName': 'Mason', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David M Mason', 'EmailAddress': 'davidm@udel.edu', 'NSF_ID': '000427302', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Delaware', 'CityName': 'NEWARK', 'ZipCode': '197160099', 'PhoneNumber': '3028312136', 'StreetAddress': '220 HULLIHEN HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Delaware', 'StateCode': 'DE', 'CONGRESSDISTRICT': '00', 'CONGRESS_DISTRICT_ORG': 'DE00', 'ORG_UEI_NUM': 'T72NHKM259N3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF DELAWARE', 'ORG_PRNT_UEI_NUM': 'T72NHKM259N3'}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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