Mathematical Sciences: Problems in the Theories of Partial Sums, Self-Normalized Sums, Partial Maxima and Random Sets

Information

  • NSF Award
  • 9001008
Owner
  • Award Id
    9001008
  • Award Effective Date
    7/1/1990 - 33 years ago
  • Award Expiration Date
    6/30/1992 - 31 years ago
  • Award Amount
    $ 36,425.00
  • Award Instrument
    Interagency Agreement

Mathematical Sciences: Problems in the Theories of Partial Sums, Self-Normalized Sums, Partial Maxima and Random Sets

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.

  • Program Officer
    K Crank
  • Min Amd Letter Date
    5/25/1990 - 34 years ago
  • Max Amd Letter Date
    6/28/1991 - 32 years ago
  • ARRA Amount

Institutions

  • Name
    National Security Agency
  • City
    Fort George G Meade
  • State
    MD
  • Country
    United States
  • Address
    9800 Savage Road
  • Postal Code
    207556643

Investigators

  • First Name
    Marvin
  • Last Name
    Wunderlich
  • Start Date
    7/1/1990 12:00:00 AM

FOA Information

  • Name
    Other Applications NEC
  • Code
    99
  • Name
    Mathematics
  • Code
    21

Program Element

  • Text
    PROBABILITY
  • Code
    1263