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A useful elementary correlation inequality

โœ Scribed by Ravi Boppona; Joel Spencer


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
85 KB
Volume
50
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


A Useful Elementary Correlation Inequali
โœ Joel Spencer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

Let I be a finite index set and let B i , i # I, be events in a probability space. Let G be an undirected graph on vertex set I. Suppose that whenever J, K are disjoint subsets of I with no pairs j # J, k # K adjacent any Boolean expression of the B j , j # J is independent of any Boolean expression

A Nonsymmetric Correlation Inequality fo
โœ Stanislaw J. Szarek; Elisabeth Werner ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

Let + be a Gaussian measure (say, on R n ) and let K, L R n be such that K is convex, L is a ``layer'' (i.e., L=[x: a (x, u) b] for some a, b # R and u # R n ), and the centers of mass (with respect to +) of K and L coincide. Then +(K & L) +(K) } +(L). This is motivated by the well-known ``positive