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An algorithmic and a geometric characterization of Coarsening At Random | | Richard D. Gill
; Peter D. Grunwald
; | | Date: |
13 Oct 2005 | | Subject: | Statistics | | Abstract: | We show that the class of conditional distributions satisfying the Coarsening at Random (CAR) property has a simple algorithmic description based on randomized uniform multicovers, which are combinatorial objects generalizing the notion of partition of a set. The maximum needed "height" of the multicovers is exponential in the number of points in the sample space. This algorithmic characterization stems from a geometric interpretation of the set of CAR distributions as a convex polytope and a characterization of its extreme points. The hierarchy of CAR models defined in this way can be useful in parsimonious statistical modelling of CAR mechanisms. | | Source: | arXiv, math/0510276 | | Other source: | [GID 978468] math.ST/0510276 | | Services: | Forum | Review | PDF | Favorites | |
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