Researchers from Brussels Free University Report on Findings in General Mathematics (Convex extrema for nonincreasing discrete distributions: Effects…

Researchers from Brussels Free University Report on Findings in General Mathematics (Convex extrema for nonincreasing discrete distributions: Effects of convexity constraints)

By a News Reporter-Staff News Editor at Journal of Mathematics -- Researchers detail new data in General Mathematics. According to news reporting out of Brussels, Belgium, by VerticalNews editors, research stated, "In risk management, the distribution of underlying random variables is not always entirely known. Sometimes, only the mean value and some shape information on the distribution (decreasingness, convexity ...) are available."

Our news journalists obtained a quote from the research from Brussels Free University, "The present paper provides discrete convex extrema for several situations of this type. The starting point is the class of discrete distributions whose probability mass functions are nonincreasing on a support D-n {0, 1, ... , n}. Convex extrema in that class of distributions are well-known. Our purpose is to point out how additional shape constraints of convexity type modify these extrema. Two cases are considered: the p.m.f. is globally convex on N, or it is convex only from a given point m>= 1. The corresponding convex extrema are derived by using simple crossing properties between two distributions. Several applications to insurance problems are briefly presented."

According to the news editors, the research concluded: "The results provide a complement to recent works by Lefevre and Loisel [9,10]."

For more information on this research see: Convex extrema for nonincreasing discrete distributions: Effects of convexity constraints. Journal of Mathematical Analysis and Applications, 2015;423(2):1774-1791. Journal of Mathematical Analysis and Applications can be contacted at: Academic Press Inc Elsevier Science, 525 B St, Ste 1900, San Diego, CA 92101-4495, USA. (Elsevier - www.elsevier.com; Journal of Mathematical Analysis and Applications - www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/)

Our news journalists report that additional information may be obtained by contacting M. Kacem, Brussels Free University, Dept. of Math, B-1050 Brussels, Belgium. Additional authors for this research include C. Lefevre and S. Loisel.

Keywords for this news article include: Europe, Belgium, Brussels, General Mathematics

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