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Activity Number: 153
Type: Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #305505
Title: The Distribution of the S-Statistic for Samples of Size 4 Drawn from Uniform and Exponential Populations
Author(s): Winston Richards*+
Companies: The Pennsylvania State University
Address: 777 W. Harrisburg Pike, Middletown, PA, 17057,
Keywords: S-statistic ; method of sections ; common content
Abstract:

The method of sections is used to determine the common content of a sphere and regular tetrahedron. The dimensions of the regular tetrahedron are held fixed, and the sphere of common center is allowed an increasing radius. As the sphere expands, it will first intersect the faces of the regular tetrahedron, then its edges, then it will circumscribe the regular tetrahedron. Common contents for all the cases mentioned will be determined. These results will then be used to determine the exact distribution of the S-statistic for samples of size 4 drawn from uniform and exponential populations, where S is the biased estimate of the standard deviations of these populations.

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