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Abstract Details

Activity Number: 30
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #306072
Title: Moment Confidence Intervals for the Difference Between Two Poisson Means and Comparison
Author(s): Meesook Lee*+ and Kalimuthu Krishnamoorthy
Companies: South Louisiana Community College and University of Louisiana at Lafayette
Address: 305 Windchase Drive, Lafayette, LA, 70508, United States
Keywords: confidence limits ; exact coverage probability ; Poisson rates ; ratio of Poisson means

The problem of estimating the difference between two Poisson means is considered. A new moment confidence interval (CI), and a fiducial CI for the difference between the means are proposed. The moment CI is simple to compute, and it specializes to the classical Wald CI when the sample sizes are equal. Numerical studies indicate that the moment CI offers improvement over the Wald CI when the sample sizes are different. Exact properties of the CIs based on the moment, fiducial and hybrid methods are evaluated numerically. Our numerical study indicates that the hybrid and fiducial CIs are in general comparable, and the moment CI seems to be the best when the expected total counts from both distributions are two or more. The interval estimation procedures are illustrated using two examples.

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