JSM 2011 Online Program

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Abstract Details

Activity Number: 409
Type: Contributed
Date/Time: Tuesday, August 2, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #300835
Title: New Approximate Bayesian Confidence Intervals for the Coefficient of Variation of a Gaussian Distribution
Author(s): Vincent A. R. Camara*+
Companies: Research Center for Bayesian Applications Inc.
Address: 8799 Bardmoor Blvd. , Largo,, FL, 33777, USA
Keywords: Estimation; Loss functions; Confidence Intervals, Statistical analysis.
Abstract:

Abstract: The aim of the present study is to obtain and compare confidence intervals for the coefficient of variation of a Gaussian distribution. Considering the square error and the Higgins-Tsokos loss functions, approximate Bayesian confidence intervals for the coefficient of variation of a normal population are derived. Using normal data and SAS software, the obtained approximate Bayesian confidence intervals will then be compared to a published classical model.

It is shown that the proposed approximate Bayesian approach relies only on the observations. The classical approach that uses the standard normal distribution does not always yield the best confidence intervals. In fact, the proposed approach has great coverage accuracy and performs often better.


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