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The Mathematics of the Uncertain pp 45–54Cite as

An Alternative to the Variation Coefficient

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

Abstract

The aim of this paper is to introduce an invariant by translation coefficient different from the variation one (widely used in literature but not fulfilling that property) that allows us to study whether the mean is a good representation of the distribution or not. The value of this new coefficient for a normally distributed random variable is obtained in order to establish a criterion, similar to the one used in the symmetry or kurtosis coefficients, to decide the grade of representation of the mean.

To Pedro: our advisor, preceptor but, above all, our friend.

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References

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  3. Peña D (2002) Análisis de datos multivariantes. McGrawHill/Interamericana de España, Madrid

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Acknowledgements

The research in this paper has been partially supported by the Spanish Ministry of Economía and Competitividad Grant MTM2015-63971-P and the Principality of Asturias/FEDER Grant GRUPIN14-101. Their financial support is gratefully acknowledged.

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Authors and Affiliations

  1. Dipartimento di Informatica e Sistemistica, Universitá di Pavia, Pavia, Italy

    Carlo Bertoluzza

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

    Rosa Casals, Gloria Naval & Antonia Salas

Authors
  1. Carlo Bertoluzza
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  2. Rosa Casals
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  3. Gloria Naval
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  4. Antonia Salas
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Corresponding author

Correspondence to Antonia Salas .

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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Bertoluzza, C., Casals, R., Naval, G., Salas, A. (2018). An Alternative to the Variation Coefficient. 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_4

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

  • eBook Packages: EngineeringEngineering (R0)

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