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Biometrika 2000 87(1):206-212; doi:10.1093/biomet/87.1.206
© 2000 by Biometrika Trust
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Miscellanea. On the generation of the chordless four-cycle

DR CoxA1 and N WermuthA2

A1 Nuffield College, Oxford OX1 1NF, UK E-Mail: david.cox@nuf.ox.ac.uk A2 Center of Survey Research (ZUMA), Postfach 122155, Mannheim, Germany E-mail: wermuth@zuma-mannheim.de

In the theory of Markov graphical representations of conditional independencies a special role is played by the chordless four-cycle, representing for four random variables the conditional independencies X {perp} V|(U, W) and W {perp} U|(X, V). It is not immediately clear how such systems are to be generated. Here we sketch some possible data-generating mechanisms.

Key Words: Concentration graph; Conditional independence; Covariance graph; Markov graph; Stochastic differential equation


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