Continuous mapping theorem
id:
continuous-mapping-theorem-314-7981602
title:
Continuous mapping theorem
text:
In probability theory, the continuous mapping theorem states that continuous functions preserve limits even if their arguments are sequences of random variables. A continuous function, in Heine's definition, is such a function that maps convergent sequences into convergent sequences: if xn → x then g(xn) → g(x). The continuous mapping theorem states that this will also be true if we replace the deterministic sequence {xn} with a sequence of random variables {Xn}, and replace the standard notion
brand slug:
wiki
category slug:
encyclopedia
description:
Probability theorem
original url:
https://en.wikipedia.org/wiki/Continuous_mapping_theorem
date created:
date modified:
2024-02-05T22:46:31Z
main entity:
{"identifier":"Q5165492","url":"https://www.wikidata.org/entity/Q5165492"}
image:
fields total:
13
integrity:
14