Mathematical Sciences: Asymptotic Behavior of Mixing        Sequenes of Random Variables and Applications
{'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 investigator will continue her study of some structural                aspects and limiting theory for dependent random variables with                 applications to statistics.  Exponential moments of the sums of                 such variables will be found under various dependence                           assumptions.  The results will be used to study the uniform                     consistency of kernel estimator of a density and of a regression                function when sampling from a stationary stochastic process.  New               weak limit theorems will be obtained for various classes of                     asymptotically independent random variables.  Limit theorems will               be sought for random variables satisfying two-part mixing                       conditions and the results will be used for a central limit                     theorems for outputs of certain smoothing procedures used in data               analysis.  Progress will be made on the Ibragimov-Iosifescu                     conjecture of the central limit theorem of stationary strong                    mixing sequences.
{'FirstName': 'Magda', 'LastName': 'Peligrad', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Magda Peligrad', 'EmailAddress': 'peligrm@ucmail.uc.edu', 'NSF_ID': '000186642', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Cincinnati Main Campus', 'CityName': 'CINCINNATI', 'ZipCode': '452202872', 'PhoneNumber': '5135564358', 'StreetAddress': '2600 CLIFTON AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'OH01', 'ORG_UEI_NUM': 'DZ4YCZ3QSPR5', 'ORG_LGL_BUS_NAME': 'CINCINNATI UNIV OF', 'ORG_PRNT_UEI_NUM': 'DZ4YCZ3QSPR5'}
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{'Code': '126300', 'Text': 'PROBABILITY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8702759.xml'}