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Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality
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Klas Markström, Umea universitet
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Abstract
We first give an example of a negatively associated measure which does
not satisfy the van den Berg-Kesten inequality. Next we show that the class
of measures satisfying the van den Berg-Kesten inequality is not
closed under either of conditioning, introduction of external fields
or convex combinations. Finally we show that this class also
includes measure which have rank sequence which is not logconcave.
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Full text: PDF
Pages: 449-456
Published on: October 4, 2010
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Electronic Communications in Probability. ISSN: 1083-589X |
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