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Activity Number: 543
Type: Contributed
Date/Time: Thursday, August 10, 2006 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #307281
Title: Bias-Corrected Point and Interval Estimates for Lognormal Mean
Author(s): Abu Minhajuddin*+ and Xian-Jin Xie
Companies: The University of Texas Southwestern Medical Center at Dallas and The University of Texas Southwestern Medical Center at Dallas
Address: 5323 Harry Hines Blvd., Dallas, TX, 75206,
Keywords: bias correction ; confidence interval ; coverage probability ; lognormal ; likelihood principle
Abstract:

Bias-corrected point estimates for the mean of the lognormal distribution is derived based on the likelihood principle. Two different bias correction approaches are discussed. The derived estimate is free of first order bias for small to moderate sample sizes and is unbiased for large samples. A confidence interval for the mean is also derived. Simulation results show the new confidence interval to have good coverage estimates.

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