Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A p-box is a simple generalization of a distribution function, useful to study a random number in the presence of imprecision.  propose an extension of p-boxes to cover imprecise evaluations of pairs of random numbers and term them bivariate p-boxes.  analyze their rather ak consistency properties, since they are at best (but generally not) equivalent to 2-coherence.  therefore focus on the relevant subclass of coherent p-boxes, corresponding to coherent lor probabilities on special domains. Several properties of coherent p-boxes are investigated and compared with those of (one-dimensional) p-boxes or of bivariate distribution functions.
['Renato Pelessoni', 'Paolo Vicig', 'Ignacio Montes', 'Enrique Miranda']
I am writing a research paper on a idea Bivariate p-boxes
[{"from": "human", "value": "I am writing a research paper on a idea Bivariate p-boxes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A p-box is a simple generalization of a distribution function, useful to study a random number in the presence of imprecision.  propose an extension of p-boxes to cover imprecise evaluations of pairs of random numbers and term them bivariate p-boxes.  analyze their rather ak consistency properties, since they are at best (but generally not) equivalent to 2-coherence.  therefore focus on the relevant subclass of coherent p-boxes, corresponding to coherent lor probabilities on special domains. Several properties of coherent p-boxes are investigated and compared with those of (one-dimensional) p-boxes or of bivariate distribution functions."}]