We generalize the notion of statistical preference to the theory of imprecise probabilities, by proposing an alternative notion of desirability of a gamble. As a natural consequence, we derive a general definition of median, providing it with a behavioral meaning. Furthermore, we show that, when we restrict to absolutely continuous probability distributions, a random variable is statistically preferred to another one if and only if the the median of their difference is positive. © 2010 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Couso, I., & Sánchez, L. (2010). The behavioral meaning of the median. In Advances in Intelligent and Soft Computing (Vol. 77, pp. 115–122). Springer Verlag. https://doi.org/10.1007/978-3-642-14746-3_15
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