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Weighted selection from elliptical distributions: a stochastic representation and an application to portfolio separation

Nils Chr Framstad

Source record

Source: arXiv

Published: Oct 8, 2026

arXiv: 2610.11822

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Source abstract

We represent (weighted-)selection-elliptical distributions as an affine combination of the qq selection variables plus an elliptical term whose direction alone is independent. This form suffices for q+2q+2 fund separation via first-order stochastic dominance, inter alia relaxing Simaan's (1993) three-fund assumptions.

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Weighted selection from elliptical distributions: a stochastic representation and an application to portfolio separation — Mathematical Frontier Network