Cramér-Wold theorem



be random vectors. Then X¯n converges to X¯ in distributionPlanetmathPlanetmath ( if and only if


for each (t1,,tk)k. That is, if every linear combinationMathworldPlanetmath of the coordinatesPlanetmathPlanetmath of X¯n converges in distribution to the correspondent linear combination of coordinates of X¯.

Title Cramér-Wold theorem
Canonical name CramerWoldTheorem
Date of creation 2013-03-22 13:14:21
Last modified on 2013-03-22 13:14:21
Owner Koro (127)
Last modified by Koro (127)
Numerical id 4
Author Koro (127)
Entry type Theorem
Classification msc 60E05