Article ID Journal Published Year Pages File Type
1145910 Journal of Multivariate Analysis 2013 13 Pages PDF
Abstract

We provide a method that enables the simple calculation of the maximal correlation coefficient of a bivariate distribution, under suitable conditions. In particular, the method readily applies to known results on order statistics and records. As an application we provide a new characterization of the exponential distribution: Under a splitting model on independent identically distributed observations, it is the (unique, up to a location-scale transformation) parent distribution that maximizes the correlation coefficient between the records among two different branches of the splitting sequence.

Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
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