Bounds for a sum of random variables under a mixture of normals

• Date: 2007
• Main Authors: Kukush, A., Pupashenko, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4515
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bounds for a sum of random variables under a mixture of normals / A. Kukush, M. Pupashenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 82–97. — Бібліогр.: 3 назв.— англ.

In two papers: Dhaene et al. (2002). Insurance: Mathematics and Economics 31, pp.3-33 and pp. 133-161, the approximation for sums of random variables (rv’s) was derived for the case where the distribution of the components is lognormal and known, but the stochastic dependence structure is unknown or...