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Preservation of weak SAI’s under increasing transformations with applications

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  • Li, Chen
  • Li, Xiaohu

Abstract

This paper develops sufficient conditions for the preservation of WSAI, RWSAI and LWSAI under increasing transformations on the coordinates, respectively. Applications of the preservation in the asset allocation problem are presented as well.

Suggested Citation

  • Li, Chen & Li, Xiaohu, 2020. "Preservation of weak SAI’s under increasing transformations with applications," Statistics & Probability Letters, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:stapro:v:164:y:2020:i:c:s0167715220301310
    DOI: 10.1016/j.spl.2020.108828
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    References listed on IDEAS

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    1. Chen, Zijin & Hu, Taizhong, 2008. "Asset proportions in optimal portfolios with dependent default risks," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 223-226, October.
    2. Li, Chen & Li, Xiaohu, 2017. "Ordering optimal deductible allocations for stochastic arrangement increasing risks," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 31-40.
    3. Cheung, Ka Chun & Yang, Hailiang, 2004. "Ordering optimal proportions in the asset allocation problem with dependent default risks," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 595-609, December.
    4. Li, Xiaohu & Li, Chen, 2016. "On allocations to portfolios of assets with statistically dependent potential risk returns," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 178-186.
    5. Yinping You & Rui Fang & Xiaohu Li, 2016. "Allocating active redundancies to k‐out‐of‐n reliability systems with permutation monotone component lifetimes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(5), pages 607-620, September.
    6. Belzunce, Félix & Martínez-Puertas, Helena & Ruiz, José M., 2013. "On allocation of redundant components for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 230(3), pages 573-580.
    7. Wei, Wei, 2017. "Joint stochastic orders of high degrees and their applications in portfolio selections," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 141-148.
    8. Cai, Jun & Wei, Wei, 2015. "Notions of multivariate dependence and their applications in optimal portfolio selections with dependent risks," Journal of Multivariate Analysis, Elsevier, vol. 138(C), pages 156-169.
    9. Masaaki Kijima & Masamitsu Ohnishi, 1996. "Portfolio Selection Problems Via The Bivariate Characterization Of Stochastic Dominance Relations1," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 237-277, July.
    10. You, Yinping & Li, Xiaohu, 2015. "Functional characterizations of bivariate weak SAI with an application," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 225-231.
    11. Li, Chen & Li, Xiaohu, 2017. "Preservation of weak stochastic arrangement increasing under fixed time left-censoring," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 42-49.
    12. Cai, Jun & Wei, Wei, 2014. "Some new notions of dependence with applications in optimal allocation problems," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 200-209.
    13. Li, Chen & Li, Xiaohu, 2019. "Preservation of WSAI under default transforms and its application in allocating assets with dependent realizable returns," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 84-91.
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