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Bayesian Updating under Incomplete or Imprecise Information in Finite Spaces

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Strengthening Links Between Data Analysis and Soft Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 315))

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Abstract

We provide (in a finite setting) a closed form expression for the lower envelope of the set of all the possible Bayesian posteriors derivable from a possibly incomplete or imprecise prior distribution (giving rise to a 2-monotone capacity) and a likelihood function.

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Author information

Authors and Affiliations

  1. Dip. Matematica e Informatica, Università di Perugia, Perugia, Italy

    Giulianella Coletti

  2. Dip. S.B.A.I., Università di Roma “La Sapienza”, Rome, Italy

    Davide Petturiti & Barbara Vantaggi

Authors
  1. Giulianella Coletti
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  2. Davide Petturiti
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  3. Barbara Vantaggi
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Corresponding author

Correspondence to Giulianella Coletti .

Editor information

Editors and Affiliations

  1. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  2. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Marek Gagolewski

  3. Polish Academy of Sciences Systems Research Institute, Warsaw, Poland

    Olgierd Hryniewicz

  4. Departamento de Estadistica e I.O. y D.M., University of Oviedo, Oviedo, Spain

    María Ángeles Gil

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Coletti, G., Petturiti, D., Vantaggi, B. (2015). Bayesian Updating under Incomplete or Imprecise Information in Finite Spaces. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_9

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

  • eBook Packages: EngineeringEngineering (R0)

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