The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
Online Program Home
Abstract Details
Activity Number:
|
276
|
Type:
|
Topic Contributed
|
Date/Time:
|
Tuesday, July 31, 2012 : 8:30 AM to 10:20 AM
|
Sponsor:
|
General Methodology
|
Abstract - #305600 |
Title:
|
Fiducial Inference for Some Discrete Distributions
|
Author(s):
|
Kalimuthu Krishnamoorthy*+
|
Companies:
|
University of Louisiana at Lafayette
|
Address:
|
Department of Mathematics , Lafayette, LA, 70504,
|
Keywords:
|
Binomial ;
odds ratio ;
relative risk ;
weighted average ;
Poisson rates
|
Abstract:
|
A simple method of constructing confidence intervals for a function of binomial success probabilities and for a function of Poisson means is proposed. The method involves finding an approximate fiducial quantity (FQ) for the parameters of interest. A FQ for a function of several parameters can be obtained by substitution. For the binomial case, the fiducial approach is illustrated for constructing confidence intervals for the difference, relative risk and the ratio of odds. Fiducial inferential procedures are also provided for estimating functions of several Poisson parameters. In particular, fiducial inferential approach is illustrated for interval estimating the ratio of two Poisson means and for a weighted sum of several Poisson means. Simple approximations to the distributions of the FQs are also given for some problems. The merits of the procedures are evaluated by comparing them with those of existing asymptotic methods with respect to coverage probabilities, and in some cases, expected widths. Comparison studies indicate that the fiducial confidence intervals are very satisfactory, and they are comparable or better than some available asymptotic methods.
|
The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
Back to the full JSM 2012 program
|
2012 JSM Online Program Home
For information, contact jsm@amstat.org or phone (888) 231-3473.
If you have questions about the Continuing Education program, please contact the Education Department.