Seminar Announcement
| Application of Generalized Fiducial Inference |
Lidong E, Ph.D. Candidate,Department of Statistics, ColoradoState University
Friday, October 17, 2008
3:00 p.m. 008 Statistics
| ABSTRACT |
Hannig (2008) generalized Fisher's fiducial argument and obtained a
fiducial recipe for interval estimation that is applicable in
virtually any situation. In this dissertation research, we apply
this fiducial recipe and fiducial generalized pivotal quantity to
make inference in four practical problems. The list of problems we
consider is (a) confidence intervals for variance components in an
unbalanced two-component normal mixed linear model (b) confidence
intervals for median lethal dose (LD50) in bioassay experiments (c)
confidence intervals for the concordance correlation coefficient
(CCC) in method comparison (d) simultaneous confidence intervals for
ratios of means of Lognormal distributions. For all the fiducial
generalized confidence intervals (a)-(d), we conducted a simulation
study to evaluate their performance and compare them with other
competing confidence interval procedures from the literature. We
also proved that the intervals (a) and (d) have asymptotically exact
frequentist coverage.
Advisory Committee:
Hari K. Iyer, Adviser
Jan Hannig, Co-Adviser
Phillip L. Chapman, Committee Member
Edwin K. Chong (Electrical Engineering)