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A Measure of Bizarreness



Author(s): Christopher P.Chambers;Alan D.Miller

Source:
    Journal:Quarterly Journal of Political Science
    ISSN Print:1554-0626,  ISSN Online:1554-0634
    Publisher:Now Publishers
    Volume 5 Number 1,

Document Type: Article
Pages: 18 (27-44)
DOI: 10.1561/100.00009022

Abstract: We introduce a path-based measure of convexity to be used in assessing the compactness of legislative districts. Our measure is the probability that a district contains the shortest path between a randomly selected pair of its points. The measure is defined relative to exogenous political boundaries and population distributions.