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Unified extension of variance bounds for integrated Pearson family

Published 1 Oct 2011 in math.PR | (1110.0090v2)

Abstract: We use some properties of orthogonal polynomials to provide a class of upper/lower variance bounds for a function $g(X)$ of an absolutely continuous random variable $X$, in terms of the derivatives of $g$ up to some order. The new bounds are better than the existing ones.

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Authors (1)

  1. G. Afendras 

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