Mathematical Sciences: Inequalities in Multivariate Analysisand Reliability
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{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will continue his work on                       probability inequalities in multivariate analysis and reliability               theory.  Specific dependence properties of random variables are                 described via conditions such as log.concave or Schure.concave                  densities, positive dependence, and arrangement increasing                      functions.  The probability inequalities are deduced in terms of                properties of the sums of random variables or the order                         statistics.  For example it will be shown that the Schur.concave                density of random variables leads to Schur.concave density of the               partial sums.  The assumption of positive dependence for                        exchangeable random variables leads to more spread out order                    statistics and hence bigger variance.  The resulting comparisons                and order arrangements of random variables are useful in                        reliability theory for finding the optimal assembly of systems.
{'FirstName': 'Yung', 'LastName': 'Tong', 'PI_MID_INIT': 'L', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Yung L Tong', 'EmailAddress': 'tong@math.gatech.edu', 'NSF_ID': '000382899', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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