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Means and their applications

Author

Listed:
  • Stanisława Ostasiewicz
  • Walenty Ostasiewicz

Abstract

General considerations about means and expectations are preceded by a short historical overview. The existing approaches to the definition of means are classified into three groups: approximational, functional, and axiomatic. In some particular cases all of them are equivalent. The problem of meaningfulness of means is discussed for ordinal data and for some important cases of metric data. A survey of the main areas of applications: decision theory, group decision, insurance, economical equity and inequality is also provided. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Stanisława Ostasiewicz & Walenty Ostasiewicz, 2000. "Means and their applications," Annals of Operations Research, Springer, vol. 97(1), pages 337-355, December.
    • Handle: RePEc:spr:annopr:v:97:y:2000:i:1:p:337-355:10.1023/a:1018932425645
    DOI: 10.1023/A:1018932425645
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    Cited by:

    1. Helena Jasiulewicz & Wojciech Kordecki, 2016. "Multiplicative parameters and estimators: applications in economics and finance," Annals of Operations Research, Springer, vol. 238(1), pages 299-313, March.
    2. Steven M. Shugan & Debanjan Mitra, 2009. "Metrics--When and Why Nonaveraging Statistics Work," Management Science, INFORMS, vol. 55(1), pages 4-15, January.
    3. Wojciech Maciejewski & Wojciech Kordecki, 2017. "A method of assigning a global preference index," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 59-75.
    4. Alessandro Albano & José Luis García-Lapresta & Antonella Plaia & Mariangela Sciandra, 2023. "A family of distances for preference–approvals," Annals of Operations Research, Springer, vol. 323(1), pages 1-29, April.
    5. Helena Jasiulewicz & Wojciech Kordecki, 2016. "Multiplicative parameters and estimators: applications in economics and finance," Annals of Operations Research, Springer, vol. 238(1), pages 299-313, March.

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