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Portfolio selection through an extremality stochastic order

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  • Laniado, Henry
  • Lillo, Rosa E.
  • Pellerey, Franco
  • Romo, Juan

Abstract

In this paper, we introduce a new multivariate stochastic order that compares random vectors in a direction which is determined by a unit vector, generalizing the previous upper and lower orthant orders. The main properties of this new order, together with its relationships with other multivariate stochastic orders, are investigated and, we present some examples of application in the determination of optimal allocations of wealth among risks in single period portfolio problems.

Suggested Citation

  • Laniado, Henry & Lillo, Rosa E. & Pellerey, Franco & Romo, Juan, 2012. "Portfolio selection through an extremality stochastic order," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 1-9.
    • Handle: RePEc:eee:insuma:v:51:y:2012:i:1:p:1-9
    DOI: 10.1016/j.insmatheco.2012.02.010
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    References listed on IDEAS

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    Cited by:

    1. López-Díaz, María Concepción & López-Díaz, Miguel, 2013. "A note on the family of extremality stochastic orders," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 230-236.
    2. Michele, Carlo de & Laniado Rodas, Henry, 2016. "Directional multivariate extremes in environmental phenomena," DES - Working Papers. Statistics and Econometrics. WS 23419, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Ra'ul Torres & Rosa E. Lillo & Henry Laniado, 2015. "A Directional Multivariate Value at Risk," Papers 1502.00908, arXiv.org.
    4. Torres, Raúl & Lillo, Rosa E. & Laniado, Henry, 2015. "A directional multivariate value at risk," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 111-123.
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    6. Qi Feng & J. George Shanthikumar, 2018. "Arrangement Increasing Resource Allocation," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 935-955, September.

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