General Definition of the Mean for Non-Additive Variables

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Vaclav Studeny
Vaclav Studeny
α Masaryk University Masaryk University

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General Definition of the Mean for Non-Additive Variables

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Abstract

This short note aims to offer the conceptual approach to the definition of the mean value, with reection to the prewious very interesting attempts with the same goal. The definition is at once simple and powerfull and its advantage are demonstrated with aplications in financial mathematics. The definition of the man value involves the term objective function, which characterize the nature of object, which is taken to average.

References

3 Cites in Article
  1. Patrick Billingsley (1995). Probability and Measure.
  2. (2013). Climate Change 2013 – The Physical Science Basis.
  3. Paul Levy (1937). Georg Lukács’ »Theorie des Romans«.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Vaclav Studeny. 2015. \u201cGeneral Definition of the Mean for Non-Additive Variables\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F3): .

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Issue Cover
GJSFR Volume 15 Issue F3
Pg. 37- 47
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 26E60
Version of record

v1.2

Issue date

May 4, 2015

Language
en
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This short note aims to offer the conceptual approach to the definition of the mean value, with reection to the prewious very interesting attempts with the same goal. The definition is at once simple and powerfull and its advantage are demonstrated with aplications in financial mathematics. The definition of the man value involves the term objective function, which characterize the nature of object, which is taken to average.

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General Definition of the Mean for Non-Additive Variables

Vaclav Studeny
Vaclav Studeny Masaryk University

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