Convergence to the Truth Without Countable Additivity
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DOI: 10.1007/s10992-020-09569-2
Abstract: Must probabilities be countably additive? On the one hand, arguably, requiring countable additivity is too restrictive. As de Finetti pointed out, there are situations in which it is reasonable to use merely finitely additive probabilities.… read more here.
Keywords: countable additivity; convergence truth; additivity; finitely additive ... See more keywords
Finitely additive measures and complementability of Lipschitz-free spaces
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DOI: 10.1007/s11856-019-1829-y
Abstract: We prove in particular that the Lipschitz-free space over a finite-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is 1. As a tool to obtain the… read more here.
Keywords: additive measures; lipschitz free; free spaces; complementability lipschitz ... See more keywords
Finitely additive mixtures of probability measures
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125114
Abstract: Abstract Let D be a linear space of real bounded functions and P : D → R a coherent functional. Also, let Q be a collection of coherent functionals on D. Under mild conditions, there… read more here.
Keywords: finitely additive; additive mixtures; mixtures probability; probability measures ... See more keywords