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Properties of systems with two exchangeable Pareto components

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Abstract

The life lengths of the units in a system can be modelled by a bivariate distribution. In this paper, we suppose that the joint distribution of the units is a symmetric bivariate Pareto (Lomax) distribution. For this model, we obtain basic reliability properties for series and parallel systems.

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Authors and Affiliations

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

    Jorge Navarro & Jose M. Ruiz

  2. Dpto. Informática de Sistemas, Universidad Católica San Antonio de Murcia, 30107, Guadalupe, Murcia, Spain

    Carlos J. Sandoval

Authors
  1. Jorge Navarro
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  2. Jose M. Ruiz
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  3. Carlos J. Sandoval
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Corresponding author

Correspondence to Jorge Navarro.

Additional information

J. M. Ruiz Partially Supported by Ministerio de Ciencia y Tecnologia under grant BFM2003-02947 and Fundacion Seneca under grant 00698/PI/04.

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Navarro, J., Ruiz, J.M. & Sandoval, C.J. Properties of systems with two exchangeable Pareto components. Statistical Papers 49, 177–190 (2008). https://doi.org/10.1007/s00362-006-0003-x

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  • DOI: https://doi.org/10.1007/s00362-006-0003-x

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