Publications de l'Institut Mathématique, Nouvelle Série Vol. 89(103), pp. 19–36 (2011) 

THE DIFFERENCE BETWEEN THE PRODUCT AND THE CONVOLUTION PRODUCT OF DISTRIBUTION FUNCTIONS IN $\mathbb{R}^n$E. Omey and R. VesiloEHSALHUB, Stormstraat 2, 1000 Brussels, Belgium and Department of Electronic Engineering, Macquarie University, NSW, 2109, AustraliaAbstract: Assume that $\vec X$ and $\vec Y$ are independent, nonnegative $d$dimensional random vectors with distribution function (d.f.) $F(\vec x)$ and $G(\vec x)$, respectively. We are interested in estimates for the difference between the product and the convolution product of $F$ and $G$, i.e.,
Keywords: subexponential distribution, regular variation, $O$regularly varying functions, sums of random vectors Classification (MSC2000): 26A12, 26B99, 60E99, 60K99 Full text of the article: (for faster download, first choose a mirror)
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