Correlation Measures

Thomas Lewis; Geoffrey Pritchard

doi:10.1214/ECP.v4-1008

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Home > Journals > Electron. Commun. Probab. > Volume 4 > Article

1999 Correlation Measures

Thomas Lewis, Geoffrey Pritchard

Author Affiliations +

Thomas Lewis,¹ Geoffrey Pritchard²
¹Furman University
²University of Auckland

Electron. Commun. Probab. 4: 77-85 (1999). DOI: 10.1214/ECP.v4-1008

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Abstract

We study a class of Borel probability measures, called correlation measures. Our results are of two types: first, we give explicit constructions of non-trivial correlation measures; second, we examine some of the properties of the set of correlation measures. In particular, we show that this set of measures has a convexity property. Our work is related to the so-called Gaussian correlation conjecture.