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Bivariate p-boxes and maxitive functions

Communications in Computer and Information Science (2016) 610 141-152
DOI: 10.1007/978-3-319-40596-4_13
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Abstract

We investigate the properties of the upper probability associated with a bivariate p-box, that may be used as a model for the imprecise knowledge of a bivariate distribution function.We give necessary and sufficient conditions for this upper probability to be maxitive, characterize its focal elements, and study which maxitive functions can be obtained as upper probabilities of bivariate p-boxes.

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Montes, I., & Miranda, E. (2016). Bivariate p-boxes and maxitive functions. In Communications in Computer and Information Science (Vol. 610, pp. 141–152). Springer Verlag. https://doi.org/10.1007/978-3-319-40596-4_13

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