Messanae Universitas Studiorum

On a connection between Davidson's entropy property and a test of randomness for point and line process in the plane

Rasson, J.P. and Hermans, M. (1987) On a connection between Davidson's entropy property and a test of randomness for point and line process in the plane. Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., LXV. pp. 337-346.

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    Abstract

    We present of randomness for $n$ lines from a Cox-process of line hitting a given circle. Then, we apply this test to the dual problem of testing the uniformity of $n$ points in a circular area by associating one line to each point of the sample. The power of the new test is investigated, for point process, by simulations including the comparison with two classical tests. The main result is that our test shows up well under an alternative consisting of a two-components point process: a cluster main component and a repulsing secondary component.

    Item Type: Article
    Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1987
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1987
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1987
    Divisions: UNSPECIFIED
    Depositing User: Dr A F
    Date Deposited: 05 Oct 2012 12:01
    Last Modified: 05 Oct 2012 12:01
    URI: http://cab.unime.it/mus/id/eprint/989

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