The research investigates reconciliation of unconditional (pre-data) inference and conditional (post-data) inference using an objective means of assessing conditional validity of frequentist confidence. General methods of assigning post-data confidence are considered which are based on posterior distributions. The resulting properties and frequentist validity of the post-data confidence estimator are examined. Post-data inference for volume-reducing confidence sets for normal means and variances is to be studied where it is possible to achieve lower volume and coherent post-data confidence in a frequency- valid way. The conditional properties of admissible nonrandomized confidence sets from discrete distributions will be investigated with the goal of obtaining coherent frequency-valid post-data inference.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8900369
Program Officer
Alan Izenman
Project Start
Project End
Budget Start
1989-07-01
Budget End
1991-06-30
Support Year
Fiscal Year
1989
Total Cost
$30,250
Indirect Cost
Name
Cornell Univ - State: Awds Made Prior May 2010
Department
Type
DUNS #
City
Ithica
State
NY
Country
United States
Zip Code
14850