The principal investigator will conduct research on problems which intersect various branches of probability theory including the classical theory of partial sums of independent random variables, probability in Banach spaces and the theory of random sets. The major objective is to clarify and extend the understanding of three related probabilistic topics which are of both theoretical and applied interest: 1) approximate the distribution of sums of independent real valued random vectors and their accompanying self-normalized sums; 2) asymptotic theory of partial maxima of independent and identically distributed sample continuous processes; 3) unions of independent or dependent random sets and models for growth. The first two topics have potential applications to statistics, while the third topic has potential applications to biology. The work will be conducted with collaborators.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9001008
Program Officer
Keith Crank
Project Start
Project End
Budget Start
1990-07-01
Budget End
1992-06-30
Support Year
Fiscal Year
1990
Total Cost
$36,425
Indirect Cost
Name
National Security Agency
Department
Type
DUNS #
City
Fort George G Meade
State
MD
Country
United States
Zip Code
20755