JSM 2003 Online Program

Abstract #300586

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Activity Number:	93
Type:	Contributed
Date/Time:	Monday, August 4, 2003 : 8:30 AM to 10:20 AM
Sponsor:	General Methodology
Abstract - #300586
Title:	Some Applications of Lancaster's Representation
Author(s):	Yuchung J. Wang*+
Companies:	Rutgers University-Camden Campus
Address:	8 Carol Rd., Westfield, NJ, 07090-1816,
Keywords:	reproducibility ; compatible ; data squashing ; additive model ; interaction ; undirected graph
Abstract:	I will first show how Lancaster's representation (1966,p.255) can be derived from lattice structure and Mobius inversion function. The following three apllications are discussed: 1) The reconstruction of an n-dimensional density from n (n-1)-dimensional marginal densities is NOT unique; 2) When a distribution is specified by an undirected graph, the joint distribution is computed from the marginal distributions of graph's cliques. Given a set of marginal distributions, are they compatible? 3) Squashing a large data set into smaller and more portable data with the goal of preserving the resilts of analysis.

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