Abstract #302216

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JSM 2003 Abstract #302216
Activity Number: 373
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #302216
Title: Parametric Models for Interpoint Distance Distributions
Author(s): Marco Bonetti*+ and Marcello Pagano
Companies: Harvard School of Public Health and Harvard School of Public Health
Address: 655 Huntington Ave., Boston, MA, 02115-6009,
Keywords: interpoint distance ; U-statistics ; clustering
Abstract:

The interpoint distance distribution ("idd") can be used to reduce the dimensionality of multivariate samples and to test deviations from assumed null distributions, without the need for specifying the distribution of the original coordinates of the observations. For example, the idd can be used to test deviations in a sample of points on the plane from a known spatial distribution. In this setting one may be interested in detecting deviations in the direction of spatial clustering. We discuss the use of parametric models for the idd, and the estimation of the associated parameters from the highly dependent interpoint distances observed from a random sample of coordinates.

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