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Some Comments on Stochastic Orders and Posets

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Book cover The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

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Abstract

In this paper, we review some relations between partially ordered sets and stochastic orders. We focus our attention on analyzing if the property of being order-isomorphic is transferred from partially ordered sets to the stochastic orders generated by such partially ordered sets.

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Acknowledgements

The authors are indebted to the Spanish Ministry of Science and Innovation and Principado de Asturias since this research is financed by Grants MTM2011-22993, MTM2013-45588-C3-1-P, MTM2015-63971-P, FC-15-GRUPIN14-101 and FC-15-GRUPIN14-142.

Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, Oviedo, Spain

    María Concepción López-Díaz

  2. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, Oviedo, Spain

    Miguel López-Díaz

Authors
  1. María Concepción López-Díaz
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  2. Miguel López-Díaz
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Corresponding author

Correspondence to Miguel López-Díaz .

Editor information

Editors and Affiliations

  1. Liberbank, Oviedo, Spain

    Eduardo Gil

  2. Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  3. Funl Media, Oxford, United Kingdom

    Juan Gil

  4. Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

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López-Díaz, M.C., López-Díaz, M. (2018). Some Comments on Stochastic Orders and Posets. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_23

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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