Abstract
The suitability of the family of d K -distances for intervals to quantify and estimate the variability of a random interval with respect to its Aumann expectation is discussed. To be precise, we will review some properties of the metrics and the associated variance. Then, we will show that the sample variance is a consistent estimator of the population one, which make it adequate for inferential problems. The use of the d K -variance will be illustrated by means of a real-life example.
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Blanco, Á., Corral, N., González-Rodríguez, G., Lubiano, M.A. (2008). Some Properties of the d K -Variance for Interval-Valued Random Sets. In: Dubois, D., Lubiano, M.A., Prade, H., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds) Soft Methods for Handling Variability and Imprecision. Advances in Soft Computing, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85027-4_40
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DOI: https://doi.org/10.1007/978-3-540-85027-4_40
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