Skip to main content
SpringerLink
Log in

Capacities, Credibilities in Analysis of Probabilistic Objects by Histograms and Lattices

  • Conference paper
Data Science, Classification, and Related Methods

Summary

Capacities and credibilities appear in the modelling of objects described by random variables with probability distributions. The general aim is to extend standard data analysis to such objects. Only histograms and lattices are investigated in this more general setting. Sub-additive ergodic theorems are used as a tool in the histogram analysis of these objects.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Choquet, G. (1954) Theory of capacities. Ann. Instit. Fourier.

    Google Scholar 

  • Diday, E. (1995) Probabilistic, possibilist and belief objects for knowledge analysis. Annals of Operations Research 55,227 — 276.

    Google Scholar 

  • Diday E., Emilion, R. (1996) Capacities and credibilities in analysis of probabilistic objects. Proceedings of OSDA’95. Springer Verlag.

    Google Scholar 

  • Schafer G. (1976) A mathematical theory of evidence. Princeton University Press.

    Google Scholar 

  • Schweizer B., Sklar B. (1983) Probabilistic metric spaces. Elsevier North-Holland, New-York.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. INRIA Rocquencourt, CEREMADE - Université Paris 9, 78135, le Chesnay Cedex, France

    Edwin Diday

  2. Centre de Calcul Informatique, Université de Dakar, Sénégal

    Richard Emilion

Authors
  1. Edwin Diday
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Richard Emilion
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106, Japan

    Chikio Hayashi , Noboru Ohsumi  & Yasumasa Baba ,  & 

  2. School of Management, Science University of Tokyo, 500 Shimokiyoku, Kuki, Saitama 346, Japan

    Keiji Yajima

  3. Institut für Statistik, Rheinisch-Westfälische Technische Hochschule (RWTH), D-52056, Aachen, Germany

    Hans-Hermann Bock

  4. Faculty of Environmental Science & Technology, Okayama University, 2-1-1 Tsushima-naka, Okayama 700, Japan

    Yutaka Tanaka

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Japan

About this paper

Cite this paper

Diday, E., Emilion, R. (1998). Capacities, Credibilities in Analysis of Probabilistic Objects by Histograms and Lattices. In: Hayashi, C., Yajima, K., Bock, HH., Ohsumi, N., Tanaka, Y., Baba, Y. (eds) Data Science, Classification, and Related Methods. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Tokyo. https://doi.org/10.1007/978-4-431-65950-1_39

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-65950-1_39

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-70208-5

  • Online ISBN: 978-4-431-65950-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation