Reasoning with random sets: An agenda for the future
CoRR(2023)
摘要
In this paper, we discuss a potential agenda for future work in the theory of
random sets and belief functions, touching upon a number of focal issues: the
development of a fully-fledged theory of statistical reasoning with random
sets, including the generalisation of logistic regression and of the classical
laws of probability; the further development of the geometric approach to
uncertainty, to include general random sets, a wider range of uncertainty
measures and alternative geometric representations; the application of this new
theory to high-impact areas such as climate change, machine learning and
statistical learning theory.
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