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Finitely additive probability measure

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Probability theory
2026-10-03  0 By others on same topic  0 Discussions Create my own version
A finitely additive probability measure on a set X is a function m:P(X)→[0,1] such that m(X)=1 and m(A⊔B)=m(A)+m(B) for disjoint subsets A,B⊆X. Unlike a probability measure, it need not be countably additive.

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  • Amenable group
  • Invariant mean
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 143 / 4 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 143 / 4 / b / Solution

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