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The Joint Possibility Distributions

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Measuring Uncertainty within the Theory of Evidence

Part of the book series: Springer Series in Measurement Science and Technology ((SSMST))

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Abstract

In some cases, univariate distributions are not capable of representing the whole information about the input quantities. In fact, when two dependent input quantities X, Y are considered, their associated univariate distributions do not include the information about the relationship between X and Y . In this case, the bivariate distribution of (X, Y ) (i.e., their joint distribution) shall be considered to represent the information about the possible X values independently of the Y values, the possible Y values independently of the X values, and the possible Y values given the X values (i.e., Y and X relationship).

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References

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Salicone, S., Prioli, M. (2018). The Joint Possibility Distributions. In: Measuring Uncertainty within the Theory of Evidence. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-74139-0_9

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