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1 results

Finding the principal pointsof a random variable
Emilio Carrizosa, E. Conde, A. Castaño, D. Romero–Morales
Journal:

RAIRO - Operations Research / Volume 35 / Issue 3 / July 2001

Published online by Cambridge University Press:

15 August 2002, pp. 315-328

Print publication:

July 2001
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The p-principal points of a random variable X with finitesecond momentare those ppoints in ${\mathbb R}$ minimizing the expected squared distance from X tothe closest point.Although the determination of principal points involves in general theresolution of a multiextremal optimization problem, existing procedures inthe literature provide just a local optimum. In this paper we show thatstandard Global Optimization techniques can be applied.