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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

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60E05*no label found*

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new question: Lorenz system by David Bankom

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new correction: examples and OEIS sequences by fizzie

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new correction: Define Galois correspondence by porton

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new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag