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# Helly-Bray theorem

Let $F,F_{1},F_{2},\dots$ be distribution functions. If $F_{n}$ converges weakly to $F$, then

$\int_{\mathbb{R}}g(x)dF_{n}(x)\xrightarrow[n\rightarrow\infty]{}\int_{\mathbb{% R}}g(x)dF(x)$ |

for each continuous bounded function $g:\mathbb{R}\rightarrow\mathbb{R}$.

Type of Math Object:

Theorem

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Reference

## Mathematics Subject Classification

60E05*no label found*

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## Recent Activity

Jul 5

new correction: Error in proof of Proposition 2 by alex2907

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new question: A trascendental number. by Ron Castillo

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new question: Banach lattice valued Bochner integrals by math ias

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new question: young tableau and young projectors by zmth

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new question: binomial coefficients: is this a known relation? by pfb

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new question: difference of a function and a finite sum by pfb