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Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality

   
@article{ECP1575,
	author = {Klas Markström},
	title = {Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Negative correlation, Correlation Inequalities, Closure properties},
	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.},
	pages = {no. 41, 449-456},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1575},    
        url = {http://ecp.ejpecp.org/article/view/1575}}