Abstract

In a recent paper, <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> Barrett and Lampard introduced an expansion for second-order probability distributions which expresses such a distribution as a double series involving orthogonal polynomials associated with the corresponding first-order probability distributions. Several interesting consequences were derived for the class, A, consisting of all second-order distributions having a diagonal expansion of the form

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