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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 201 / 2 / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2024 iii Paper 201 2
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a
Weak convergence of probability measures μn​→μ on a metric space means that
∫fdμn​⟶∫fdμ
(1)
for every bounded continuous real function f. Weak convergence of random variables means weak convergence of their probability distributions; equivalently,
E[f(Xn​)]⟶E[f(X)]
(2)
for every bounded continuous f.

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