Title page for ETD etd-121499-161722


Type of Document Dissertation
Author Kathman, Jr., Steven Jay
Author's Email Address skathman@vt.edu
URN etd-121499-161722
Title Discrete Small Sample Asymptotics
Degree PhD
Department Statistics
Advisory Committee
Advisor Name Title
Terrell, George R. Committee Chair
Foutz, Robert Committee Member
Reynolds, Marion R. Jr. Committee Member
Smith, Eric P. Committee Member
Ye, Keying Committee Member
Keywords
  • Tilting
  • Poisson approximation
  • Generating function
Date of Defense 1999-12-07
Availability unrestricted
Abstract
Random variables defined on the natural numbers may often be approximated by Poisson variables. Just as normal approximations may be improved by saddlepoint methods, Poisson approximations may be substantially improved by tilting, expansion, and other related methods. This work will develop and examine the use of these methods, as well as present examples where such methods may be needed.
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