Cramér–Wold theorem
id:
cram-r-wold-theorem-286-2086663
title:
Cramér–Wold theorem
text:
In mathematics, the Cramér–Wold theorem in measure theory states that a Borel probability measure on R k is uniquely determined by the totality of its one-dimensional projections. It is used as a method for proving joint convergence results. The theorem is named after Harald Cramér and Herman Ole Andreas Wold. Let and be random vectors of dimension k. Then X n converges in distribution to X if and only if: for each ∈ R k , that is, if every fixed linear combination of the coordinates of X n conv
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Cram%C3%A9r%E2%80%93Wold_theorem
date created:
date modified:
2023-08-21T19:39:51Z
main entity:
{"identifier":"Q966837","url":"https://www.wikidata.org/entity/Q966837"}
image:
fields total:
13
integrity:
13