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Preservation of Stochastic Orders under the Formation of Generalized Distorted Distributions. Applications to Coherent Systems

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Abstract

The preservation of stochastic orders under the formation of coherent systems is a relevant topic in the reliability theory. Several properties have been obtained under the assumption of identically distributed components. In this paper we obtain ordering preservation results for generalized distorted distributions (GDD) which, in particular, can be used to obtain preservation results for coherent systems with non-identically distributed components. We consider both the cases of independent and dependent components. The preservation results obtained here for GDD can also be applied to other statistical concepts.

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Authors and Affiliations

  1. Facultad de Matematicas, Universidad de Murcia, 30100, Murcia, Spain

    Jorge Navarro

  2. Universidad de Almería, Almería, Spain

    Yolanda del Águila

  3. Universidad de Cádiz, Cádiz, Spain

    Miguel A. Sordo & Alfonso Suárez-Llorens

Authors
  1. Jorge Navarro
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  2. Yolanda del Águila
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  3. Miguel A. Sordo
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  4. Alfonso Suárez-Llorens
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Correspondence to Jorge Navarro.

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Navarro, J., del Águila, Y., Sordo, M.A. et al. Preservation of Stochastic Orders under the Formation of Generalized Distorted Distributions. Applications to Coherent Systems. Methodol Comput Appl Probab 18, 529–545 (2016). https://doi.org/10.1007/s11009-015-9441-z

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  • DOI: https://doi.org/10.1007/s11009-015-9441-z

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